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107923598496 = 25327251213281
BaseRepresentation
bin110010010000010111…
…1110110110010100000
3101022120101021211222200
41210200233312302200
53232011420122441
6121325053133200
710540306310520
oct1444057666240
9338511254880
10107923598496
114185206aa0a
1218abb48a200
13a23c28236c
14531b51b680
152c19b927b6
hex1920bf6ca0

107923598496 has 144 divisors (see below), whose sum is σ = 352150763328. Its totient is φ = 30712320000.

The previous prime is 107923598491. The next prime is 107923598521. The reversal of 107923598496 is 694895329701.

107923598496 is a `hidden beast` number, since 1 + 0 + 7 + 92 + 3 + 59 + 8 + 496 = 666.

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

It is a super-2 number, since 2×1079235984962 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (107923598491) by changing a digit.

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, 399376 + ... + 612656.

It is an arithmetic number, because the mean of its divisors is an integer number (2445491412).

It is a 1-persistent number, because it is pandigital, but 2⋅107923598496 = 215847196992 is not.

Almost surely, 2107923598496 is an apocalyptic number.

107923598496 is a gapful number since it is divisible by the number (16) 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 107923598496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176075381664).

107923598496 is an abundant number, since it is smaller than the sum of its proper divisors (244227164832).

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

107923598496 is a wasteful number, since it uses less digits than its factorization.

107923598496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213555 (or 213544 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 107923598496 in words is "one hundred seven billion, nine hundred twenty-three million, five hundred ninety-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 251 252 288 336 502 504 672 753 1004 1008 1506 1757 2008 2016 2259 3012 3514 4016 4518 5271 6024 7028 8032 9036 10542 12048 14056 15813 18072 21084 24096 28112 31626 36144 42168 56224 63252 72288 84336 126504 168672 213281 253008 426562 506016 639843 853124 1279686 1492967 1706248 1919529 2559372 2985934 3412496 3839058 4478901 5118744 5971868 6824992 7678116 8957802 10237488 11943736 13436703 15356232 17915604 20474976 23887472 26873406 30712464 35831208 47774944 53533531 53746812 61424928 71662416 107067062 107493624 143324832 160600593 214134124 214987248 321201186 374734717 428268248 429974496 481801779 642402372 749469434 856536496 963603558 1124204151 1284804744 1498938868 1713072992 1927207116 2248408302 2569609488 2997877736 3372612453 3854414232 4496816604 5139218976 5995755472 6745224906 7708828464 8993633208 11991510944 13490449812 15417656928 17987266416 26980899624 35974532832 53961799248 107923598496