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98012365920 = 2532579723449
BaseRepresentation
bin101101101000111111…
…1100000010001100000
3100100222122120001212200
41123101333200101200
53101212131202140
6113005401053200
710036560235650
oct1332177402140
9310878501780
1098012365920
1138626475207
1216bb4187200
13931caa4ac1
144a5b0a4360
1528399bb030
hex16d1fe0460

98012365920 has 144 divisors (see below), whose sum is σ = 382248266400. Its totient is φ = 22402824192.

The previous prime is 98012365883. The next prime is 98012365939. The reversal of 98012365920 is 2956321089.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4851645 + ... + 4871804.

It is an arithmetic number, because the mean of its divisors is an integer number (2654501850).

Almost surely, 298012365920 is an apocalyptic number.

98012365920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

98012365920 is an abundant number, since it is smaller than the sum of its proper divisors (284235900480).

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

98012365920 is a wasteful number, since it uses less digits than its factorization.

98012365920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9723477 (or 9723466 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 98012365920 in words is "ninety-eight billion, twelve million, three hundred sixty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 9723449 19446898 29170347 38893796 48617245 58340694 68064143 77787592 87511041 97234490 116681388 136128286 145851735 155575184 175022082 194468980 204192429 233362776 272256572 291703470 311150368 340320715 350044164 388937960 408384858 437555205 466725552 544513144 583406940 612577287 680641430 700088328 777875920 816769716 875110410 933451104 1020962145 1089026288 1166813880 1225154574 1361282860 1400176656 1555751840 1633539432 1750220820 2041924290 2178052576 2333627760 2450309148 2722565720 2800353312 3062886435 3267078864 3500441640 4083848580 4667255520 4900618296 5445131440 6125772870 6534157728 7000883280 8167697160 9801236592 10890262880 12251545740 14001766560 16335394320 19602473184 24503091480 32670788640 49006182960 98012365920