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191815968768 = 2113228113687
BaseRepresentation
bin1011001010100100011…
…1110110100000000000
3200100002222120211012120
42302221013312200000
511120314342000033
6224041413524240
716600243555434
oct2625107664000
9610088524176
10191815968768
1174392128426
1231212943680
131511b923348
1493d91d09c4
154ec9c261b3
hex2ca91f6800

191815968768 has 96 divisors (see below), whose sum is σ = 511645942080. Its totient is φ = 63905955840.

The previous prime is 191815968763. The next prime is 191815968809. The reversal of 191815968768 is 867869518191.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (191815968763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14007621 + ... + 14021307.

It is an arithmetic number, because the mean of its divisors is an integer number (5329645230).

Almost surely, 2191815968768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191815968768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255822971040).

191815968768 is an abundant number, since it is smaller than the sum of its proper divisors (319829973312).

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

191815968768 is a wasteful number, since it uses less digits than its factorization.

191815968768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15993 (or 15973 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 69.

The spelling of 191815968768 in words is "one hundred ninety-one billion, eight hundred fifteen million, nine hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 2281 3072 4562 6144 6843 9124 13686 13687 18248 27372 27374 36496 41061 54744 54748 72992 82122 109488 109496 145984 164244 218976 218992 291968 328488 437952 437984 583936 656976 875904 875968 1167872 1313952 1751808 1751936 2335744 2627904 3503616 3503872 4671488 5255808 7007232 7007744 10511616 14014464 14015488 21023232 28030976 31220047 42046464 62440094 84092928 93660141 124880188 187320282 249760376 374640564 499520752 749281128 999041504 1498562256 1998083008 2997124512 3996166016 5994249024 7992332032 11988498048 15984664064 23976996096 31969328128 47953992192 63938656256 95907984384 191815968768