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102625088052 = 22373835412609
BaseRepresentation
bin101111110010011101…
…1101001001000110100
3100210220010012122002010
41133210323221020310
53140134010304202
6115051215444220
710262100566304
oct1374473511064
9323803178063
10102625088052
113a583206663
1217a80b26670
1398a6627996
144d77953604
152a0992376c
hex17e4ee9234

102625088052 has 96 divisors (see below), whose sum is σ = 246211781760. Its totient is φ = 33258885120.

The previous prime is 102625088003. The next prime is 102625088057. The reversal of 102625088052 is 250880526201.

It is a super-3 number, since 3×1026250880523 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102625088052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102625088057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39333724 + ... + 39336332.

It is an arithmetic number, because the mean of its divisors is an integer number (2564706060).

Almost surely, 2102625088052 is an apocalyptic number.

102625088052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102625088052 is an abundant number, since it is smaller than the sum of its proper divisors (143586693708).

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

102625088052 is a wasteful number, since it uses less digits than its factorization.

102625088052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3313 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The spelling of 102625088052 in words is "one hundred two billion, six hundred twenty-five million, eighty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 12 73 83 146 166 219 249 292 332 438 498 541 876 996 1082 1623 2164 2609 3246 5218 6059 6492 7827 10436 12118 15654 18177 24236 31308 36354 39493 44903 72708 78986 89806 118479 134709 157972 179612 190457 216547 236958 269418 380914 433094 473916 538836 571371 649641 761828 866188 1142742 1299282 1411469 2285484 2598564 2822938 3277919 4234407 5645876 6555838 8468814 9833757 13111676 15807931 16937628 19667514 31615862 39335028 47423793 63231724 94847586 103037237 117151927 189695172 206074474 234303854 309111711 351455781 412148948 468607708 618223422 702911562 1236446844 1405823124 8552090671 17104181342 25656272013 34208362684 51312544026 102625088052