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38436712704 = 2833131034153
BaseRepresentation
bin100011110011000000…
…011011000100000000
310200012201110022111000
4203303000123010000
51112204244301304
625354012052000
72530332444615
oct436300330400
9120181408430
1038436712704
1115334582175
127548464000
133817231cb0
141c08b1250c
15eee63a939
hex8f301b100

38436712704 has 288 divisors, whose sum is σ = 123625698560. Its totient is φ = 11709038592.

The previous prime is 38436712681. The next prime is 38436712733. The reversal of 38436712704 is 40721763483.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 38436712704.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9253092 + ... + 9257244.

Almost surely, 238436712704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38436712704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61812849280).

38436712704 is an abundant number, since it is smaller than the sum of its proper divisors (85188985856).

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

38436712704 is a wasteful number, since it uses less digits than its factorization.

38436712704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4294 (or 4274 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 38436712704 in words is "thirty-eight billion, four hundred thirty-six million, seven hundred twelve thousand, seven hundred four".