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38097096973632 = 263322046931119
BaseRepresentation
bin10001010100110001010111…
…11011101001110101000000
311222220001021012011111002000
420222120223323221311000
514443140323311124012
6213005321552224000
711011265402150304
oct1052305373516500
9158801235144060
1038097096973632
1111158985063744
12433358083b000
131834705282758
14959ca32c7d04
15460ed618cddc
hex22a62bee9d40

38097096973632 has 56 divisors (see below), whose sum is σ = 111998410089600. Its totient is φ = 12699032323968.

The previous prime is 38097096973603. The next prime is 38097096973651. The reversal of 38097096973632 is 23637969079083.

38097096973632 is a `hidden beast` number, since 3 + 8 + 0 + 97 + 0 + 96 + 97 + 363 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 11023463832 + ... + 11023467287.

Almost surely, 238097096973632 is an apocalyptic number.

38097096973632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38097096973632 is an abundant number, since it is smaller than the sum of its proper divisors (73901313115968).

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

38097096973632 is a wasteful number, since it uses less digits than its factorization.

38097096973632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22046931140 (or 22046931124 counting only the distinct ones).

The product of its (nonzero) digits is 555532992, while the sum is 72.

The spelling of 38097096973632 in words is "thirty-eight trillion, ninety-seven billion, ninety-six million, nine hundred seventy-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 22046931119 44093862238 66140793357 88187724476 132281586714 176375448952 198422380071 264563173428 352750897904 396844760142 529126346856 595267140213 705501795808 793689520284 1058252693712 1190534280426 1411003591616 1587379040568 2116505387424 2381068560852 3174758081136 4233010774848 4762137121704 6349516162272 9524274243408 12699032324544 19048548486816 38097096973632