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38829555725076 = 22324722948910003
BaseRepresentation
bin10001101010000101101011…
…11000000011001100010100
312002111001212111112022002100
420311002311320003030110
520042140412231200301
6214330015053242100
711115225405623244
oct1065026570031424
9162431774468070
1038829555725076
1111410581a16756
124431517793330
1318887c4300c9c
149835093cbb24
154750a4b4d286
hex2350b5e03314

38829555725076 has 36 divisors (see below), whose sum is σ = 100240838897472. Its totient is φ = 12667798321104.

The previous prime is 38829555725071. The next prime is 38829555725171. The reversal of 38829555725076 is 67052755592883.

38829555725076 is a `hidden beast` number, since 3 + 88 + 295 + 5 + 5 + 7 + 250 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 38829555724995 and 38829555725013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38829555725071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11474453310 + ... + 11474456693.

It is an arithmetic number, because the mean of its divisors is an integer number (2784467747152).

Almost surely, 238829555725076 is an apocalyptic number.

38829555725076 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38829555725076 is an abundant number, since it is smaller than the sum of its proper divisors (61411283172396).

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

38829555725076 is a wasteful number, since it uses less digits than its factorization.

38829555725076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22948910060 (or 22948910055 counting only the distinct ones).

The product of its (nonzero) digits is 1270080000, while the sum is 72.

The spelling of 38829555725076 in words is "thirty-eight trillion, eight hundred twenty-nine billion, five hundred fifty-five million, seven hundred twenty-five thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 22948910003 45897820006 68846730009 91795640012 137693460018 206540190027 275386920036 413080380054 826160760108 1078598770141 2157197540282 3235796310423 4314395080564 6471592620846 9707388931269 12943185241692 19414777862538 38829555725076