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639932419806144 = 263267110859114913
BaseRepresentation
bin1001000110000000111110000…
…0100100000001001111000000
310002220210221102121202122010220
42101200033200210001033000
51132334123043432244034
610145004521210423040
7251535406631211513
oct22140174044011700
93086727377678126
10639932419806144
111759a18a6a82133
125b933234731a80
132160c4a308b7aa
14b404c74268d7a
154deb19de63749
hex24603e09013c0

639932419806144 has 112 divisors (see below), whose sum is σ = 1693959151511040. Its totient is φ = 213209453076480.

The previous prime is 639932419806137. The next prime is 639932419806167. The reversal of 639932419806144 is 441608914239936.

It is a super-2 number, since 2×6399324198061442 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5568785232 + ... + 5568900144.

Almost surely, 2639932419806144 is an apocalyptic number.

639932419806144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

639932419806144 is an abundant number, since it is smaller than the sum of its proper divisors (1054026731704896).

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

639932419806144 is a wasteful number, since it uses less digits than its factorization.

639932419806144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128458 (or 128448 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 69.

The spelling of 639932419806144 in words is "six hundred thirty-nine trillion, nine hundred thirty-two billion, four hundred nineteen million, eight hundred six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 2671 5342 8013 10684 10859 16026 21368 21718 32052 32577 42736 43436 64104 65154 85472 86872 114913 128208 130308 170944 173744 229826 256416 260616 344739 347488 459652 512832 521232 689478 694976 919304 1042464 1378956 1838608 2084928 2757912 3677216 5515824 7354432 11031648 22063296 29004389 58008778 87013167 116017556 174026334 232035112 306932623 348052668 464070224 613865246 696105336 920797869 928140448 1227730492 1247840267 1392210672 1841595738 1856280896 2455460984 2495680534 2784421344 3683191476 3743520801 4910921968 4991361068 5568842688 7366382952 7487041602 9821843936 9982722136 14732765904 14974083204 19643687872 19965444272 29465531808 29948166408 39930888544 58931063616 59896332816 79861777088 119792665632 239585331264 3332981353157 6665962706314 9998944059471 13331925412628 19997888118942 26663850825256 39995776237884 53327701650512 79991552475768 106655403301024 159983104951536 213310806602048 319966209903072 639932419806144