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102925632064 = 2689101178909
BaseRepresentation
bin101111111011011011…
…0001000001001000000
3100211200001201211221211
41133312312020021000
53141242430211224
6115141113255504
710302410303023
oct1376666101100
9324601654854
10102925632064
113a717921842
1217b45704594
139923986288
144da58291ba
152a25edd894
hex17f6d88240

102925632064 has 56 divisors (see below), whose sum is σ = 208584012600. Its totient is φ = 50380492800.

The previous prime is 102925632059. The next prime is 102925632067. The reversal of 102925632064 is 460236529201.

It can be written as a sum of positive squares in 4 ways, for example, as 34741977664 + 68183654400 = 186392^2 + 261120^2 .

It is not an unprimeable number, because it can be changed into a prime (102925632067) 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, 485842 + ... + 664750.

Almost surely, 2102925632064 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 102925632064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104292006300).

102925632064 is an abundant number, since it is smaller than the sum of its proper divisors (105658380536).

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

102925632064 is a wasteful number, since it uses less digits than its factorization.

102925632064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179111 (or 179101 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 102925632064 in words is "one hundred two billion, nine hundred twenty-five million, six hundred thirty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 89 101 178 202 356 404 712 808 1424 1616 2848 3232 5696 6464 8989 17978 35956 71912 143824 178909 287648 357818 575296 715636 1431272 2862544 5725088 11450176 15922901 18069809 31845802 36139618 63691604 72279236 127383208 144558472 254766416 289116944 509532832 578233888 1019065664 1156467776 1608213001 3216426002 6432852004 12865704008 25731408016 51462816032 102925632064