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102692020928 = 2672239971031
BaseRepresentation
bin101111110100011101…
…0111110001011000000
3100211001210011011201112
41133220322332023000
53140303124132203
6115102010222452
710263542530010
oct1375072761300
9324053134645
10102692020928
113a607a72292
1217a9b424a28
1398b7461433
144d827b7c40
152a107456d8
hex17e8ebe2c0

102692020928 has 112 divisors (see below), whose sum is σ = 234396954624. Its totient is φ = 43727109120.

The previous prime is 102692020913. The next prime is 102692020943. The reversal of 102692020928 is 829020296201.

It is an interprime number because it is at equal distance from previous prime (102692020913) and next prime (102692020943).

It is a tau number, because it is divible by the number of its divisors (112).

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, 99603773 + ... + 99604803.

It is an arithmetic number, because the mean of its divisors is an integer number (2092829952).

Almost surely, 2102692020928 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 102692020928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117198477312).

102692020928 is an abundant number, since it is smaller than the sum of its proper divisors (131704933696).

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

102692020928 is a wasteful number, since it uses less digits than its factorization.

102692020928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The spelling of 102692020928 in words is "one hundred two billion, six hundred ninety-two million, twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 223 224 446 448 892 997 1031 1561 1784 1994 2062 3122 3568 3988 4124 6244 6979 7136 7217 7976 8248 12488 13958 14272 14434 15952 16496 24976 27916 28868 31904 32992 49952 55832 57736 63808 65984 99904 111664 115472 222331 223328 229913 230944 444662 446656 459826 461888 889324 919652 1027907 1556317 1609391 1778648 1839304 2055814 3112634 3218782 3557296 3678608 4111628 6225268 6437564 7114592 7195349 7357216 8223256 12450536 12875128 14229184 14390698 14714432 16446512 24901072 25750256 28781396 32893024 49802144 51500512 57562792 65786048 99604288 103001024 115125584 229223261 230251168 458446522 460502336 916893044 1604562827 1833786088 3209125654 3667572176 6418251308 7335144352 12836502616 14670288704 25673005232 51346010464 102692020928