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932323229344 = 251321179713327
BaseRepresentation
bin11011001000100101100…
…10110111111010100000
310022010111012122021010201
431210102302313322200
5110233344221314334
61552145310234544
7124233560456533
oct15442262677240
93263435567121
10932323229344
1132a43a180481
121308351b5a54
1369bc126a610
14331a61c8a1a
15193ba0b4c14
hexd912cb7ea0

932323229344 has 96 divisors (see below), whose sum is σ = 1988713956096. Its totient is φ = 427694238720.

The previous prime is 932323229323. The next prime is 932323229353. The reversal of 932323229344 is 443922323239.

932323229344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 932323229294 and 932323229303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69950809 + ... + 69964135.

It is an arithmetic number, because the mean of its divisors is an integer number (20715770376).

Almost surely, 2932323229344 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 932323229344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994356978048).

932323229344 is an abundant number, since it is smaller than the sum of its proper divisors (1056390726752).

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

932323229344 is a wasteful number, since it uses less digits than its factorization.

932323229344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14358 (or 14350 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 46.

The spelling of 932323229344 in words is "nine hundred thirty-two billion, three hundred twenty-three million, two hundred twenty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 211 416 422 797 844 1594 1688 2743 3188 3376 5486 6376 6752 10361 10972 12752 13327 20722 21944 25504 26654 41444 43888 53308 82888 87776 106616 165776 168167 173251 213232 331552 336334 346502 426464 672668 693004 1345336 1386008 2186171 2690672 2772016 2811997 4372342 5381344 5544032 5623994 8744684 10621619 11247988 17489368 21243238 22495976 34978736 36555961 42486476 44991952 69957472 73111922 84972952 89983904 138081047 146223844 169945904 276162094 292447688 339891808 552324188 584895376 1104648376 1169790752 2209296752 2241161609 4418593504 4482323218 8964646436 17929292872 29135100917 35858585744 58270201834 71717171488 116540403668 233080807336 466161614672 932323229344