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102686307872 = 2529659167911
BaseRepresentation
bin101111110100010010…
…1001011011000100000
3100211001101101220212212
41133220211023120200
53140300143322442
6115101243541252
710263443133611
oct1375045133040
9324041356785
10102686307872
113a60481aa55
1217a9952a828
1398b6210c25
144d81b2bc08
152a0eeb7a82
hex17e894b620

102686307872 has 48 divisors (see below), whose sum is σ = 209453428800. Its totient is φ = 49497181440.

The previous prime is 102686307869. The next prime is 102686307877. The reversal of 102686307872 is 278703686201.

It is a self number, because there is not a number n which added to its sum of digits gives 102686307872.

It is not an unprimeable number, because it can be changed into a prime (102686307877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 527597 + ... + 695507.

It is an arithmetic number, because the mean of its divisors is an integer number (4363613100).

Almost surely, 2102686307872 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 102686307872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104726714400).

102686307872 is an abundant number, since it is smaller than the sum of its proper divisors (106767120928).

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

102686307872 is a wasteful number, since it uses less digits than its factorization.

102686307872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168609 (or 168601 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 50.

The spelling of 102686307872 in words is "one hundred two billion, six hundred eighty-six million, three hundred seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 659 928 1318 2636 5272 10544 19111 21088 38222 76444 152888 167911 305776 335822 611552 671644 1343288 2686576 4869419 5373152 9738838 19477676 38955352 77910704 110653349 155821408 221306698 442613396 885226792 1770453584 3208947121 3540907168 6417894242 12835788484 25671576968 51343153936 102686307872