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9941126112 = 25351278437
BaseRepresentation
bin10010100001000100…
…11000101111100000
3221122210222112100000
421100202120233200
5130324412013422
64322240500000
7501231114651
oct112042305740
927583875300
109941126112
114241563205
121b1531a600
13c25745c58
146a43d9528
153d2b2dcac
hex250898be0

9941126112 has 72 divisors (see below), whose sum is σ = 29317140216. Its totient is φ = 3313706112.

The previous prime is 9941126077. The next prime is 9941126177. The reversal of 9941126112 is 2116211499.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 631443 + ... + 646994.

It is an arithmetic number, because the mean of its divisors is an integer number (407182503).

Almost surely, 29941126112 is an apocalyptic number.

It is an amenable number.

9941126112 is an abundant number, since it is smaller than the sum of its proper divisors (19376014104).

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

9941126112 is a wasteful number, since it uses less digits than its factorization.

9941126112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278462 (or 1278442 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 9941126112 is about 99705.1960130464. The cubic root of 9941126112 is about 2150.1983672751.

The spelling of 9941126112 in words is "nine billion, nine hundred forty-one million, one hundred twenty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 1278437 2556874 3835311 5113748 7670622 10227496 11505933 15341244 20454992 23011866 30682488 34517799 40909984 46023732 61364976 69035598 92047464 103553397 122729952 138071196 184094928 207106794 276142392 310660191 368189856 414213588 552284784 621320382 828427176 1104569568 1242640764 1656854352 2485281528 3313708704 4970563056 9941126112