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38358085383 = 3331400711437
BaseRepresentation
bin100011101110010100…
…011110111100000111
310200000020111122002000
4203232110132330013
51112024132213013
625342122520343
72525356226502
oct435624367407
9120006448060
1038358085383
11152a4159312
1275260660b3
133803b62657
141bdc4c6139
15ee77a8973
hex8ee51ef07

38358085383 has 32 divisors (see below), whose sum is σ = 58679685120. Its totient is φ = 24738812640.

The previous prime is 38358085369. The next prime is 38358085391.

38358085383 is a `hidden beast` number, since 3 + 8 + 3 + 580 + 8 + 53 + 8 + 3 = 666.

38358085383 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 38358085383 - 28 = 38358085127 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38358083383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3348141 + ... + 3359577.

It is an arithmetic number, because the mean of its divisors is an integer number (1833740160).

Almost surely, 238358085383 is an apocalyptic number.

38358085383 is a deficient number, since it is larger than the sum of its proper divisors (20321599737).

38358085383 is a wasteful number, since it uses less digits than its factorization.

38358085383 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15484 (or 15478 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 38358085383 in words is "thirty-eight billion, three hundred fifty-eight million, eighty-five thousand, three hundred eighty-three".

Divisors: 1 3 9 27 31 93 279 837 4007 11437 12021 34311 36063 102933 108189 124217 308799 354547 372651 1063641 1117953 3190923 3353859 9572769 45828059 137484177 412452531 1237357593 1420669829 4262009487 12786028461 38358085383