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38649084526080 = 293557107109761
BaseRepresentation
bin10001100100110101100001…
…11101000011111000000000
312001211211001011010111100000
420302122300331003320000
520031211311114313310
6214111051101200000
711066206226012160
oct1062326075037000
9161754034114300
1038649084526080
1111350a916a9816
124402550260000
131874792b79982
149788a8bb65a0
15470540dba4c0
hex2326b0f43e00

38649084526080 has 1920 divisors, whose sum is σ = 161804153871360. Its totient is φ = 8659831357440.

The previous prime is 38649084526043. The next prime is 38649084526093. The reversal of 38649084526080 is 8062548094683.

38649084526080 is a `hidden beast` number, since 3 + 8 + 6 + 49 + 0 + 8 + 452 + 60 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 38649084525999 and 38649084526017.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 50787232900 + ... + 50787233660.

It is an arithmetic number, because the mean of its divisors is an integer number (84272996808).

Almost surely, 238649084526080 is an apocalyptic number.

38649084526080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38649084526080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80902076935680).

38649084526080 is an abundant number, since it is smaller than the sum of its proper divisors (123155069345280).

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

38649084526080 is a wasteful number, since it uses less digits than its factorization.

38649084526080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 38649084526080 in words is "thirty-eight trillion, six hundred forty-nine billion, eighty-four million, five hundred twenty-six thousand, eighty".