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38715134976 = 210337200041
BaseRepresentation
bin100100000011100110…
…100001010000000000
310200221010100122001000
4210003212201100000
51113242033304401
625441355412000
72540253134430
oct440346412000
9120833318030
1038715134976
1115467758a21
127605754000
13385cb164bb
141c33aaa2c0
151018cd6186
hex9039a1400

38715134976 has 176 divisors, whose sum is σ = 131035511680. Its totient is φ = 11061411840.

The previous prime is 38715134957. The next prime is 38715134987. The reversal of 38715134976 is 67943151783.

38715134976 is a `hidden beast` number, since 3 + 87 + 1 + 513 + 49 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93516 + ... + 293556.

Almost surely, 238715134976 is an apocalyptic number.

38715134976 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 38715134976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65517755840).

38715134976 is an abundant number, since it is smaller than the sum of its proper divisors (92320376704).

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

38715134976 is a wasteful number, since it uses less digits than its factorization.

38715134976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200077 (or 200053 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 38715134976 in words is "thirty-eight billion, seven hundred fifteen million, one hundred thirty-four thousand, nine hundred seventy-six".