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5672541433300 = 2252722713426709
BaseRepresentation
bin101001010001011110111…
…0100010010110111010100
3202002021211011110210212021
41102202331310102313110
51220414331101331200
620021532441302524
71123553602423300
oct122427564226724
922067734423767
105672541433300
111897790835625
12777462794a44
13321bc28445b1
141587a3d9ad00
159c850d6241a
hex528bdd12dd4

5672541433300 has 108 divisors (see below), whose sum is σ = 14324426836860. Its totient is φ = 1944149921280.

The previous prime is 5672541433277. The next prime is 5672541433303. The reversal of 5672541433300 is 33341452765.

It can be written as a sum of positive squares in 6 ways, for example, as 1062820788624 + 4609720644676 = 1030932^2 + 2147026^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5672541433303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13080346 + ... + 13507054.

Almost surely, 25672541433300 is an apocalyptic number.

5672541433300 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 5672541433300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7162213418430).

5672541433300 is an abundant number, since it is smaller than the sum of its proper divisors (8651885403560).

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

5672541433300 is a wasteful number, since it uses less digits than its factorization.

5672541433300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429450 (or 429436 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 43.

It can be divided in two parts, 5672541 and 433300, that added together give a square (6105841 = 24712).

The spelling of 5672541433300 in words is "five trillion, six hundred seventy-two billion, five hundred forty-one million, four hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 2713 4900 5426 10852 13565 18991 27130 37982 54260 67825 75964 94955 132937 135650 189910 265874 271300 379820 426709 474775 531748 664685 853418 949550 1329370 1706836 1899100 2133545 2658740 2986963 3323425 4267090 5973926 6646850 8534180 10667725 11947852 13293700 14934815 20908741 21335450 29869630 41817482 42670900 59739260 74674075 83634964 104543705 149348150 209087410 298696300 418174820 522718525 1045437050 1157661517 2090874100 2315323034 4630646068 5788307585 8103630619 11576615170 16207261238 23153230340 28941537925 32414522476 40518153095 56725414333 57883075850 81036306190 113450828666 115766151700 162072612380 202590765475 226901657332 283627071665 405181530950 567254143330 810363061900 1134508286660 1418135358325 2836270716650 5672541433300