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10131704576 = 28713741269
BaseRepresentation
bin10010110111110010…
…11000101100000000
3222011002120220211122
421123321120230000
5131222204021301
64353205331412
7506034032210
oct113371305400
928132526748
1010131704576
11432a0a0674
121b69106b68
13c56081a86
146c1848240
153e472681b
hex25be58b00

10131704576 has 72 divisors (see below), whose sum is σ = 23282222880. Its totient is φ = 4310360064.

The previous prime is 10131704573. The next prime is 10131704581. The reversal of 10131704576 is 67540713101.

It is not an unprimeable number, because it can be changed into a prime (10131704573) 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, 224870 + ... + 266138.

Almost surely, 210131704576 is an apocalyptic number.

10131704576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131704576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11641111440).

10131704576 is an abundant number, since it is smaller than the sum of its proper divisors (13150518304).

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

10131704576 is an equidigital number, since it uses as much as digits as its factorization.

10131704576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41429 (or 41415 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 35.

The spelling of 10131704576 in words is "ten billion, one hundred thirty-one million, seven hundred four thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 137 224 256 274 448 548 896 959 1096 1792 1918 2192 3836 4384 7672 8768 15344 17536 30688 35072 41269 61376 82538 122752 165076 245504 288883 330152 577766 660304 1155532 1320608 2311064 2641216 4622128 5282432 5653853 9244256 10564864 11307706 18488512 22615412 36977024 39576971 45230824 73954048 79153942 90461648 158307884 180923296 316615768 361846592 633231536 723693184 1266463072 1447386368 2532926144 5065852288 10131704576