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638213655168 = 273461556101
BaseRepresentation
bin10010100100110000111…
…11111000101010000000
32021000100012120212120000
421102120133320222000
540424030143431133
61205105153320000
764052346363255
oct11223037705200
92230305525500
10638213655168
11226734a742a1
12a3834566000
134824c8c119b
1422c654d142c
1511904ae7413
hex94987f8a80

638213655168 has 80 divisors (see below), whose sum is σ = 1899313527210. Its totient is φ = 212737881600.

The previous prime is 638213655143. The next prime is 638213655169. The reversal of 638213655168 is 861556312836.

It is a happy number.

638213655168 is a `hidden beast` number, since 6 + 3 + 8 + 21 + 3 + 6 + 551 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 504906882624 + 133306772544 = 710568^2 + 365112^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (638213655169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 30767683 + ... + 30788418.

Almost surely, 2638213655168 is an apocalyptic number.

It is an amenable number.

638213655168 is an abundant number, since it is smaller than the sum of its proper divisors (1261099872042).

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

638213655168 is an equidigital number, since it uses as much as digits as its factorization.

638213655168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61556127 (or 61556106 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 638213655168 in words is "six hundred thirty-eight billion, two hundred thirteen million, six hundred fifty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 61556101 123112202 184668303 246224404 369336606 492448808 554004909 738673212 984897616 1108009818 1477346424 1662014727 1969795232 2216019636 2954692848 3324029454 3939590464 4432039272 4986044181 5909385696 6648058908 7879180928 8864078544 9972088362 11818771392 13296117816 17728157088 19944176724 23637542784 26592235632 35456314176 39888353448 53184471264 70912628352 79776706896 106368942528 159553413792 212737885056 319106827584 638213655168