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21627075141 = 337241474809
BaseRepresentation
bin10100001001000100…
…101111101001000101
32001211020011020202000
4110021010233221011
5323243012401031
613534011135513
71363640051130
oct241104575105
961736136660
1021627075141
119198a13721
124236a44599
1320688002a9
141092427217
15868a173e6
hex50912fa45

21627075141 has 32 divisors (see below), whose sum is σ = 36769286400. Its totient is φ = 12307023360.

The previous prime is 21627075139. The next prime is 21627075161. The reversal of 21627075141 is 14157072612.

21627075141 is a `hidden beast` number, since 21 + 627 + 0 + 7 + 5 + 1 + 4 + 1 = 666.

It is not a de Polignac number, because 21627075141 - 21 = 21627075139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21627075096 and 21627075105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21627075161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191856 + ... + 282953.

It is an arithmetic number, because the mean of its divisors is an integer number (1149040200).

Almost surely, 221627075141 is an apocalyptic number.

21627075141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21627075141 is a deficient number, since it is larger than the sum of its proper divisors (15142211259).

21627075141 is a wasteful number, since it uses less digits than its factorization.

21627075141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475066 (or 475060 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 21627075141 in words is "twenty-one billion, six hundred twenty-seven million, seventy-five thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 27 63 189 241 723 1687 2169 5061 6507 15183 45549 474809 1424427 3323663 4273281 9970989 12819843 29912967 89738901 114428969 343286907 801002783 1029860721 2403008349 3089582163 7209025047 21627075141