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38767882620996 = 2232172610432
BaseRepresentation
bin10001101000010010110011…
…10111110101000001000100
312002021011200101201000000100
420310021121313311001010
520040133110422332441
6214241415220444100
711110613162113134
oct1064113167650104
9162234611630010
1038767882620996
1111397404076851
124421585549630
131882a460536a9
14980538654ac4
154736955aacb6
hex234259df5044

38767882620996 has 81 divisors (see below), whose sum is σ = 104101891543741. Its totient is φ = 12162273734784.

The previous prime is 38767882620983. The next prime is 38767882621031. The reversal of 38767882620996 is 69902628876783.

The square root of 38767882620996 is 6226386.

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

38767882620996 is a `hidden beast` number, since 387 + 6 + 7 + 8 + 8 + 26 + 209 + 9 + 6 = 666.

38767882620996 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 30182607576900 + 8585275044096 = 5493870^2 + 2930064^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 635060851 + ... + 635121893.

Almost surely, 238767882620996 is an apocalyptic number.

38767882620996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

38767882620996 is the 6226386-th square number.

It is an amenable number.

38767882620996 is an abundant number, since it is smaller than the sum of its proper divisors (65334008922745).

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

38767882620996 is an frugal number, since it uses more digits than its factorization.

38767882620996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122130 (or 61065 counting only the distinct ones).

The product of its (nonzero) digits is 5267275776, while the sum is 81.

The spelling of 38767882620996 in words is "thirty-eight trillion, seven hundred sixty-seven billion, eight hundred eighty-two million, six hundred twenty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 5202 10404 61043 122086 183129 244172 366258 549387 732516 1037731 1098774 2075462 2197548 3113193 4150924 6226386 9339579 12452772 17641427 18679158 35282854 37358316 52924281 70565708 105848562 158772843 211697124 317545686 635091372 3726247849 7452495698 11178743547 14904991396 22357487094 33536230641 44714974188 63346213433 67072461282 126692426866 134144922564 190038640299 253384853732 380077280598 570115920897 760154561196 1076885628361 1140231841794 2153771256722 2280463683588 3230656885083 4307542513444 6461313770166 9691970655249 12922627540332 19383941310498 38767882620996