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212291917210944 = 26321919398018751
BaseRepresentation
bin110000010001010000010000…
…010100000110010101000000
31000211122220112201102221222100
4300101100100110012111000
5210311142321301222234
62031301321014310400
762500404416562054
oct6021202024062500
91024586481387870
10212291917210944
116170855091039a
121b987719658400
13915c07106b53c
143a5cdab089c64
1519822eec6d399
hexc11410506540

212291917210944 has 84 divisors (see below), whose sum is σ = 640522579191040. Its totient is φ = 67039552800000.

The previous prime is 212291917210943. The next prime is 212291917210979. The reversal of 212291917210944 is 449012719192212.

212291917210944 is a `hidden beast` number, since 2 + 12 + 291 + 91 + 7 + 210 + 9 + 44 = 666.

It is a super-2 number, since 2×2122919172109442 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212291917210943) by changing a digit.

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, 9698998432 + ... + 9699020319.

Almost surely, 2212291917210944 is an apocalyptic number.

212291917210944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212291917210944 is an abundant number, since it is smaller than the sum of its proper divisors (428230661980096).

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

212291917210944 is a wasteful number, since it uses less digits than its factorization.

212291917210944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19398018788 (or 19398018775 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 212291917210944 in words is "two hundred twelve trillion, two hundred ninety-one billion, nine hundred seventeen million, two hundred ten thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 10944 19398018751 38796037502 58194056253 77592075004 116388112506 155184150008 174582168759 232776225012 310368300016 349164337518 368562356269 465552450024 620736600032 698328675036 737124712538 931104900048 1105687068807 1241473200064 1396657350072 1474249425076 1862209800096 2211374137614 2793314700144 2948498850152 3317061206421 3724419600192 4422748275228 5586629400288 5896997700304 6634122412842 8845496550456 11173258800576 11793995400608 13268244825684 17690993100912 23587990801216 26536489651368 35381986201824 53072979302736 70763972403648 106145958605472 212291917210944