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11492630656 = 271315834363
BaseRepresentation
bin10101011010000001…
…11010000010000000
31002122221102010110021
422231000322002000
5142014103140111
65140222543224
7554540514553
oct125500720200
932587363407
1011492630656
114968321571
122288a37b14
131111ccc390
147b04a869a
15473e4dd71
hex2ad03a080

11492630656 has 64 divisors (see below), whose sum is σ = 24677896320. Its totient is φ = 5299725312.

The previous prime is 11492630647. The next prime is 11492630659. The reversal of 11492630656 is 65603629411.

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

It is not an unprimeable number, because it can be changed into a prime (11492630659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2631931 + ... + 2636293.

It is an arithmetic number, because the mean of its divisors is an integer number (385592130).

Almost surely, 211492630656 is an apocalyptic number.

11492630656 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 11492630656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12338948160).

11492630656 is an abundant number, since it is smaller than the sum of its proper divisors (13185265664).

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

11492630656 is a wasteful number, since it uses less digits than its factorization.

11492630656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5973 (or 5961 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The spelling of 11492630656 in words is "eleven billion, four hundred ninety-two million, six hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1583 1664 3166 4363 6332 8726 12664 17452 20579 25328 34904 41158 50656 56719 69808 82316 101312 113438 139616 164632 202624 226876 279232 329264 453752 558464 658528 907504 1317056 1815008 2634112 3630016 6906629 7260032 13813258 27626516 55253032 89786177 110506064 179572354 221012128 359144708 442024256 718289416 884048512 1436578832 2873157664 5746315328 11492630656