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102437880016 = 24172617143909
BaseRepresentation
bin101111101100111000…
…1100000000011010000
3100210102001221110221011
41133121301200003100
53134243044130031
6115020451140304
710254335420263
oct1373161400320
9323361843834
10102437880016
113a49757047a
1217a2a2a4694
1398768cbcb4
144d5ab40cda
1529e82946b1
hex17d9c600d0

102437880016 has 40 divisors (see below), whose sum is σ = 210230060040. Its totient is φ = 48187305984.

The previous prime is 102437880007. The next prime is 102437880019. The reversal of 102437880016 is 610088734201.

It can be written as a sum of positive squares in 4 ways, for example, as 48530327616 + 53907552400 = 220296^2 + 232180^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102437880019) 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, 639870 + ... + 783778.

It is an arithmetic number, because the mean of its divisors is an integer number (5255751501).

Almost surely, 2102437880016 is an apocalyptic number.

102437880016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102437880016 is an abundant number, since it is smaller than the sum of its proper divisors (107792180024).

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

102437880016 is a wasteful number, since it uses less digits than its factorization.

102437880016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146551 (or 146545 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 102437880016 in words is "one hundred two billion, four hundred thirty-seven million, eight hundred eighty thousand, sixteen".

Divisors: 1 2 4 8 16 17 34 68 136 272 2617 5234 10468 20936 41872 44489 88978 143909 177956 287818 355912 575636 711824 1151272 2302544 2446453 4892906 9785812 19571624 39143248 376609853 753219706 1506439412 3012878824 6025757648 6402367501 12804735002 25609470004 51218940008 102437880016