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638884454432 = 25717499336221
BaseRepresentation
bin10010100110000000111…
…10110010000000100000
32021002001221211000011012
421103000132302000200
540431413410020212
61205255515040052
764105103155250
oct11230036620040
92232057730135
10638884454432
11226a49689754
12a39a1140028
1348328878323
1422cca627960
151194394c922
hex94c07b2020

638884454432 has 96 divisors (see below), whose sum is σ = 1525102992000. Its totient is φ = 257184092160.

The previous prime is 638884454413. The next prime is 638884454459. The reversal of 638884454432 is 234454488836.

It is a super-2 number, since 2×6388844544322 (a number of 24 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1732082 + ... + 2068302.

It is an arithmetic number, because the mean of its divisors is an integer number (15886489500).

Almost surely, 2638884454432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638884454432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762551496000).

638884454432 is an abundant number, since it is smaller than the sum of its proper divisors (886218537568).

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

638884454432 is a wasteful number, since it uses less digits than its factorization.

638884454432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336754 (or 336746 counting only the distinct ones).

The product of its digits is 70778880, while the sum is 59.

The spelling of 638884454432 in words is "six hundred thirty-eight billion, eight hundred eighty-four million, four hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 499 544 952 998 1904 1996 3493 3808 3992 6986 7984 8483 13972 15968 16966 27944 33932 55888 59381 67864 111776 118762 135728 237524 271456 336221 475048 672442 950096 1344884 1900192 2353547 2689768 4707094 5379536 5715757 9414188 10759072 11431514 18828376 22863028 37656752 40010299 45726056 75313504 80020598 91452112 160041196 167774279 182904224 320082392 335548558 640164784 671097116 1174419953 1280329568 1342194232 2348839906 2684388464 2852162743 4697679812 5368776928 5704325486 9395359624 11408650972 18790719248 19965139201 22817301944 37581438496 39930278402 45634603888 79860556804 91269207776 159721113608 319442227216 638884454432