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27355642472424 = 23371931759479639
BaseRepresentation
bin1100011100001001110110…
…10110100010011111101000
310120212011200202110222110010
412032010323112202133220
512041143323433104144
6134103001512051520
75522244215310240
oct616047326423750
9116764622428403
1027355642472424
118797510019782
123099859393ba0
13123581a486156
146a803d468b20
153268b2b4c5b9
hex18e13b5a27e8

27355642472424 has 128 divisors (see below), whose sum is σ = 78608775168000. Its totient is φ = 7770964414464.

The previous prime is 27355642472399. The next prime is 27355642472441. The reversal of 27355642472424 is 42427424655372.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56793997 + ... + 57273635.

It is an arithmetic number, because the mean of its divisors is an integer number (614131056000).

Almost surely, 227355642472424 is an apocalyptic number.

27355642472424 is a gapful number since it is divisible by the number (24) 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 27355642472424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39304387584000).

27355642472424 is an abundant number, since it is smaller than the sum of its proper divisors (51253132695576).

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

27355642472424 is a wasteful number, since it uses less digits than its factorization.

27355642472424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481607 (or 481603 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 57.

The spelling of 27355642472424 in words is "twenty-seven trillion, three hundred fifty-five billion, six hundred forty-two million, four hundred seventy-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 193 386 579 772 1158 1351 1544 1759 2316 2702 3518 4053 4632 5277 5404 7036 8106 10554 10808 12313 14072 16212 21108 24626 32424 36939 42216 49252 73878 98504 147756 295512 339487 479639 678974 959278 1018461 1357948 1438917 1918556 2036922 2376409 2715896 2877834 3357473 3837112 4073844 4752818 5755668 6714946 7129227 8147688 9505636 10072419 11511336 13429892 14258454 19011272 20144838 26859784 28516908 40289676 57033816 80579352 92570327 185140654 277710981 370281308 555421962 647992289 740562616 843685001 1110843924 1295984578 1687370002 1943976867 2221687848 2531055003 2591969156 3374740004 3887953734 5062110006 5183938312 5905795007 6749480008 7775907468 10124220012 11811590014 15551814936 17717385021 20248440024 23623180028 35434770042 47246360056 70869540084 141739080168 162831205193 325662410386 488493615579 651324820772 976987231158 1139818436351 1302649641544 1953974462316 2279636872702 3419455309053 3907948924632 4559273745404 6838910618106 9118547490808 13677821236212 27355642472424