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38644676856 = 2335292512731
BaseRepresentation
bin100011111111011001…
…101111100011111000
310200202012202222200000
4203333121233203320
51113121014124411
625430401313000
72535436222242
oct437731574370
9120665688600
1038644676856
1115430a04775
1275a6035760
13384b3472c6
141c285a9092
151012a19956
hex8ff66f8f8

38644676856 has 192 divisors, whose sum is σ = 112770403200. Its totient is φ = 12383280000.

The previous prime is 38644676831. The next prime is 38644676867. The reversal of 38644676856 is 65867644683.

38644676856 is a `hidden beast` number, since 3 + 8 + 64 + 467 + 68 + 56 = 666.

It is a super-2 number, since 2×386446768562 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38644676793 and 38644676802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14149011 + ... + 14151741.

It is an arithmetic number, because the mean of its divisors is an integer number (587345850).

Almost surely, 238644676856 is an apocalyptic number.

38644676856 is a gapful number since it is divisible by the number (36) 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 38644676856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56385201600).

38644676856 is an abundant number, since it is smaller than the sum of its proper divisors (74125726344).

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

38644676856 is a wasteful number, since it uses less digits than its factorization.

38644676856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032 (or 3016 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 38644676856 in words is "thirty-eight billion, six hundred forty-four million, six hundred seventy-six thousand, eight hundred fifty-six".