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10163764032 = 2632311631979
BaseRepresentation
bin10010111011100111…
…01011101101000000
3222020022220201010220
421131303223231000
5131303410422112
64400312423040
7506603366052
oct113563535500
928208821126
1010163764032
1143461a8394
121b779a7a80
13c5c8c8276
146c5bd18d2
153e745a98c
hex25dcebb40

10163764032 has 112 divisors (see below), whose sum is σ = 28099146240. Its totient is φ = 3236197888.

The previous prime is 10163763977. The next prime is 10163764123. The reversal of 10163764032 is 23046736101.

It is a super-4 number, since 4×101637640324 (a number of 41 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10163763984 and 10163764002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5134819 + ... + 5136797.

Almost surely, 210163764032 is an apocalyptic number.

10163764032 is a gapful number since it is divisible by the number (12) 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 10163764032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14049573120).

10163764032 is an abundant number, since it is smaller than the sum of its proper divisors (17935382208).

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

10163764032 is a wasteful number, since it uses less digits than its factorization.

10163764032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3180 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 10163764032 in words is "ten billion, one hundred sixty-three million, seven hundred sixty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1163 1472 1979 2208 2326 3489 3958 4416 4652 5937 6978 7916 9304 11874 13956 15832 18608 23748 26749 27912 31664 37216 45517 47496 53498 55824 63328 74432 80247 91034 94992 106996 111648 126656 136551 160494 182068 189984 213992 223296 273102 320988 364136 379968 427984 546204 641976 728272 855968 1092408 1283952 1456544 1711936 2184816 2301577 2567904 2913088 4369632 4603154 5135808 6904731 8739264 9206308 13809462 18412616 27618924 36825232 52936271 55237848 73650464 105872542 110475696 147300928 158808813 211745084 220951392 317617626 423490168 441902784 635235252 846980336 1270470504 1693960672 2540941008 3387921344 5081882016 10163764032