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102554518912 = 2718143310223
BaseRepresentation
bin101111110000010111…
…0011100010110000000
3100210201012102100102021
41133200232130112000
53140012424101122
6115040215131224
710260253012336
oct1374056342600
9323635370367
10102554518912
113a547396a5a
1217a61373b14
139894b1a0b1
144d6c423b56
152a036341c7
hex17e0b9c580

102554518912 has 64 divisors (see below), whose sum is σ = 205931194560. Its totient is φ = 50871214080.

The previous prime is 102554518907. The next prime is 102554518931. The reversal of 102554518912 is 219815455201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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, 10026633 + ... + 10036855.

It is an arithmetic number, because the mean of its divisors is an integer number (3217674915).

Almost surely, 2102554518912 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 102554518912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102965597280).

102554518912 is an abundant number, since it is smaller than the sum of its proper divisors (103376675648).

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

102554518912 is a wasteful number, since it uses less digits than its factorization.

102554518912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10851 (or 10839 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 43.

The spelling of 102554518912 in words is "one hundred two billion, five hundred fifty-four million, five hundred eighteen thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 181 362 433 724 866 1448 1732 2896 3464 5792 6928 10223 11584 13856 20446 23168 27712 40892 55424 78373 81784 156746 163568 313492 327136 626984 654272 1253968 1308544 1850363 2507936 3700726 4426559 5015872 7401452 8853118 10031744 14802904 17706236 29605808 35412472 59211616 70824944 118423232 141649888 236846464 283299776 566599552 801207179 1602414358 3204828716 6409657432 12819314864 25638629728 51277259456 102554518912