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638691869124 = 223429215312
BaseRepresentation
bin10010100101101010000…
…00001000000111000100
32021001120112102122210000
421102311000020013010
540431020104302444
61205224435201300
764100244212121
oct11226500100704
92231515378700
10638691869124
1122695aa00541
12a3948746230
13482c79b8c1a
1422cacc15748
1511931aaa469
hex94b50081c4

638691869124 has 135 divisors (see below), whose sum is σ = 1730356969341. Its totient is φ = 205421741280.

The previous prime is 638691869119. The next prime is 638691869131. The reversal of 638691869124 is 421968196836.

The square root of 638691869124 is 799182.

It is a perfect power (a square), and thus also a powerful number.

638691869124 is a `hidden beast` number, since 6 + 386 + 91 + 86 + 91 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 334914523524 + 303777345600 = 578718^2 + 551160^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 417172239 + ... + 417173769.

Almost surely, 2638691869124 is an apocalyptic number.

638691869124 is the 799182-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638691869124

638691869124 is an abundant number, since it is smaller than the sum of its proper divisors (1091665100217).

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

638691869124 is an equidigital number, since it uses as much as digits as its factorization.

638691869124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136 (or 1565 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The spelling of 638691869124 in words is "six hundred thirty-eight billion, six hundred ninety-one million, eight hundred sixty-nine thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 841 1044 1531 1566 1682 2349 2523 3062 3132 3364 4593 4698 5046 6124 7569 9186 9396 10092 13779 15138 18372 22707 27558 30276 41337 44399 45414 55116 68121 82674 88798 90828 124011 133197 136242 165348 177596 248022 266394 272484 399591 496044 532788 799182 1198773 1287571 1598364 2343961 2397546 2575142 3596319 3862713 4687922 4795092 5150284 7031883 7192638 7725426 9375844 11588139 14063766 14385276 15450852 21095649 23176278 28127532 34764417 42191298 46352556 63286947 67974869 69528834 84382596 104293251 126573894 135949738 139057668 189860841 203924607 208586502 253147788 271899476 379721682 407849214 417173004 611773821 759443364 815698428 1223547642 1835321463 1971271201 2447095284 3670642926 3942542402 5505964389 5913813603 7341285852 7885084804 11011928778 11827627206 17741440809 22023857556 23655254412 35482881618 53224322427 70965763236 106448644854 159672967281 212897289708 319345934562 638691869124