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545525142234100 = 225272934336142727
BaseRepresentation
bin111110000001001101111100…
…0010100011010001111110100
32122112112200202010101022201021
41330002123320110122033310
51033000340442402442400
65212122442435110524
7222622614401231260
oct17402337024321764
92575480663338637
10545525142234100
11148903a05a86466
1251226516442444
131a551a52cb6b72
14989d7b47110a0
154310562d8a71a
hex1f026f851a3f4

545525142234100 has 144 divisors (see below), whose sum is σ = 1360655137997568. Its totient is φ = 185968326850560.

The previous prime is 545525142234091. The next prime is 545525142234109. The reversal of 545525142234100 is 1432241525545.

It is an interprime number because it is at equal distance from previous prime (545525142234091) and next prime (545525142234109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545525142234109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85736937 + ... + 91879663.

It is an arithmetic number, because the mean of its divisors is an integer number (9448994013872).

Almost surely, 2545525142234100 is an apocalyptic number.

545525142234100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 545525142234100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680327568998784).

545525142234100 is an abundant number, since it is smaller than the sum of its proper divisors (815129995763468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

545525142234100 is a wasteful number, since it uses less digits than its factorization.

545525142234100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6143474 (or 6143467 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 43.

Adding to 545525142234100 its reverse (1432241525545), we get a palindrome (546957383759645).

The spelling of 545525142234100 in words is "five hundred forty-five trillion, five hundred twenty-five billion, one hundred forty-two million, two hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 293 350 433 586 700 866 1172 1465 1732 2051 2165 2930 3031 4102 4330 5860 6062 7325 8204 8660 10255 10825 12124 14650 15155 20510 21650 29300 30310 41020 43300 51275 60620 75775 102550 126869 151550 205100 253738 303100 507476 634345 888083 1268690 1776166 2537380 3171725 3552332 4440415 6142727 6343450 8880830 12285454 12686900 17761660 22202075 24570908 30713635 42999089 44404150 61427270 85998178 88808300 122854540 153568175 171996356 214995445 307136350 429990890 614272700 859981780 1074977225 1799819011 2149954450 2659800791 3599638022 4299908900 5319601582 7199276044 8999095055 10639203164 12598733077 13299003955 17998190110 18618605537 25197466154 26598007910 35996380220 37237211074 44995475275 50394932308 53196015820 62993665385 66495019775 74474422148 89990950550 93093027685 125987330770 132990039550 179981901100 186186055370 251974661540 265980079100 314968326925 372372110740 465465138425 629936653850 779321631763 930930276850 1259873307700 1558643263526 1861860553700 3117286527052 3896608158815 5455251422341 7793216317630 10910502844682 15586432635260 19483040794075 21821005689364 27276257111705 38966081588150 54552514223410 77932163176300 109105028446820 136381285558525 272762571117050 545525142234100