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212956883336960 = 285723767509301
BaseRepresentation
bin110000011010111011100011…
…011000100011111100000000
31000221000110221100112011101222
4300122323203120203330000
5210403041144113240320
62032531012554214212
762566425043440230
oct6032734330437400
91027013840464358
10212956883336960
1161944563961a24
121ba74579424368
1391a9995284419
143a8324d587cc0
15199476d303825
hexc1aee3623f00

212956883336960 has 72 divisors (see below), whose sum is σ = 582969468159456. Its totient is φ = 73013788569600.

The previous prime is 212956883336941. The next prime is 212956883337019. The reversal of 212956883336960 is 69633388659212.

It is a Smith number, since the sum of its digits (71) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11883745691 + ... + 11883763610.

Almost surely, 2212956883336960 is an apocalyptic number.

212956883336960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212956883336960 is an abundant number, since it is smaller than the sum of its proper divisors (370012584822496).

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

212956883336960 is an equidigital number, since it uses as much as digits as its factorization.

212956883336960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23767509329 (or 23767509315 counting only the distinct ones).

The product of its (nonzero) digits is 604661760, while the sum is 71.

The spelling of 212956883336960 in words is "two hundred twelve trillion, nine hundred fifty-six billion, eight hundred eighty-three million, three hundred thirty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 23767509301 47535018602 95070037204 118837546505 166372565107 190140074408 237675093010 332745130214 380280148816 475350186020 665490260428 760560297632 831862825535 950700372040 1330980520856 1521120595264 1663725651070 1901400744080 2661961041712 3042241190528 3327451302140 3802801488160 5323922083424 6084482381056 6654902604280 7605602976320 10647844166848 13309805208560 15211205952640 21295688333696 26619610417120 30422411905280 42591376667392 53239220834240 106478441668480 212956883336960