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27022311322072 = 23111916161669451
BaseRepresentation
bin1100010010011100111110…
…10001000111000111011000
310112200022022100010002002221
412021032133101013013120
512020213143144301242
6133245513424433424
75456204031264253
oct611163721070730
9115608270102087
1027022311322072
1186791092a8930
123045131478874
1312102680c4691
14695c5b71409a
1531cda41ac167
hex18939f4471d8

27022311322072 has 32 divisors (see below), whose sum is σ = 58182010027200. Its totient is φ = 11636402004000.

The previous prime is 27022311322049. The next prime is 27022311322099.

27022311322072 is nontrivially palindromic in base 10.

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, 8080833054 + ... + 8080836397.

It is an arithmetic number, because the mean of its divisors is an integer number (1818187813350).

Almost surely, 227022311322072 is an apocalyptic number.

27022311322072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27022311322072 is an abundant number, since it is smaller than the sum of its proper divisors (31159698705128).

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

27022311322072 is a wasteful number, since it uses less digits than its factorization.

27022311322072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16161669487 (or 16161669483 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The spelling of 27022311322072 in words is "twenty-seven trillion, twenty-two billion, three hundred eleven million, three hundred twenty-two thousand, seventy-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1672 16161669451 32323338902 64646677804 129293355608 177778363961 307071719569 355556727922 614143439138 711113455844 1228286878276 1422226911688 2456573756552 3377788915259 6755577830518 13511155661036 27022311322072