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102876713536 = 26400932
BaseRepresentation
bin101111111001111101…
…1100001001001000000
3100211112122200112100111
41133303323201021000
53141142414313121
6115132205001104
710301244431302
oct1376373411100
9324478615314
10102876713536
113a6a224a603
1217b31253194
1399167b91bc
144d9d133972
152a21a792e1
hex17f3ee1240

102876713536 has 21 divisors (see below), whose sum is σ = 204151070361. Its totient is φ = 51437073792.

The previous prime is 102876713521. The next prime is 102876713671. The reversal of 102876713536 is 635317678201.

The square root of 102876713536 is 320744.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6190542400 + 96686171136 = 78680^2 + 310944^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102876713536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2545906 + ... + 2585998.

It is an arithmetic number, because the mean of its divisors is an integer number (9721479541).

Almost surely, 2102876713536 is an apocalyptic number.

102876713536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

102876713536 is the 320744-th square number.

It is an amenable number.

102876713536 is a deficient number, since it is larger than the sum of its proper divisors (101274356825).

102876713536 is an frugal number, since it uses more digits than its factorization.

102876713536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80198 (or 40095 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

Multiplying 102876713536 by its sum of digits (49), we get a square (5040958963264 = 22452082).

The spelling of 102876713536 in words is "one hundred two billion, eight hundred seventy-six million, seven hundred thirteen thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 40093 80186 160372 320744 641488 1282976 2565952 1607448649 3214897298 6429794596 12859589192 25719178384 51438356768 102876713536