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102468688056 = 23327431471719
BaseRepresentation
bin101111101101110011…
…1000001100010111000
3100210111012220200121200
41133123213001202320
53134323441004211
6115023511334200
710255161322530
oct1373347014270
9323435820550
10102468688056
113a5029a2a69
1217a38681360
1398800c79c7
144d60c804c0
1529ead2cb56
hex17db9c18b8

102468688056 has 96 divisors (see below), whose sum is σ = 317901542400. Its totient is φ = 29208778560.

The previous prime is 102468688039. The next prime is 102468688087. The reversal of 102468688056 is 650886864201.

It is a junction number, because it is equal to n+sod(n) for n = 102468687993 and 102468688011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18636 + ... + 453083.

It is an arithmetic number, because the mean of its divisors is an integer number (3311474400).

Almost surely, 2102468688056 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 102468688056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158950771200).

102468688056 is an abundant number, since it is smaller than the sum of its proper divisors (215432854344).

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

102468688056 is a wasteful number, since it uses less digits than its factorization.

102468688056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472169 (or 472162 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 102468688056 in words is "one hundred two billion, four hundred sixty-eight million, six hundred eighty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 431 504 862 1293 1724 2586 3017 3448 3879 5172 6034 7758 9051 10344 12068 15516 18102 24136 27153 31032 36204 54306 72408 108612 217224 471719 943438 1415157 1886876 2830314 3302033 3773752 4245471 5660628 6604066 8490942 9906099 11321256 13208132 16981884 19812198 26416264 29718297 33963768 39624396 59436594 79248792 118873188 203310889 237746376 406621778 609932667 813243556 1219865334 1423176223 1626487112 1829798001 2439730668 2846352446 3659596002 4269528669 4879461336 5692704892 7319192004 8539057338 11385409784 12808586007 14638384008 17078114676 25617172014 34156229352 51234344028 102468688056