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31232412192 = 2531964126713
BaseRepresentation
bin11101000101100110…
…001100101000100000
32222121122021221002010
4131011212030220200
51002430444142232
622203054552520
72153653060212
oct350546145040
988548257063
1031232412192
1112277978603
126077808740
132c397c7497
141723db45b2
15c2be180cc
hex74598ca20

31232412192 has 96 divisors (see below), whose sum is σ = 86437955520. Its totient is φ = 9847111680.

The previous prime is 31232412187. The next prime is 31232412203. The reversal of 31232412192 is 29121423213.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1155828 + ... + 1182540.

It is an arithmetic number, because the mean of its divisors is an integer number (900395370).

Almost surely, 231232412192 is an apocalyptic number.

31232412192 is a gapful number since it is divisible by the number (32) 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 31232412192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43218977760).

31232412192 is an abundant number, since it is smaller than the sum of its proper divisors (55205543328).

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

31232412192 is a wasteful number, since it uses less digits than its factorization.

31232412192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27386 (or 27378 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The spelling of 31232412192 in words is "thirty-one billion, two hundred thirty-two million, four hundred twelve thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 641 912 1282 1824 1923 2564 3846 5128 7692 10256 12179 15384 20512 24358 26713 30768 36537 48716 53426 61536 73074 80139 97432 106852 146148 160278 194864 213704 292296 320556 389728 427408 507547 584592 641112 854816 1015094 1169184 1282224 1522641 2030188 2564448 3045282 4060376 6090564 8120752 12181128 16241504 17123033 24362256 34246066 48724512 51369099 68492132 102738198 136984264 205476396 273968528 325337627 410952792 547937056 650675254 821905584 976012881 1301350508 1643811168 1952025762 2602701016 3904051524 5205402032 7808103048 10410804064 15616206096 31232412192