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38327978328576 = 293314795317971
BaseRepresentation
bin10001011011011111011011…
…00010001000001000000000
312000201010012201011112122020
420231233231202020020000
520010431144423003301
6213303344041041440
711034051014245146
oct1055575542101000
9160633181145566
1038327978328576
1111237893615992
124370276486280
13185040b432901
149671268b9596
15466eea7d3436
hex22dbed888200

38327978328576 has 320 divisors, whose sum is σ = 107763484409856. Its totient is φ = 12087432806400.

The previous prime is 38327978328559. The next prime is 38327978328587. The reversal of 38327978328576 is 67582387972383.

It is a Smith number, since the sum of its digits (78) coincides with the sum of the digits of its prime factors.

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, 2132759271 + ... + 2132777241.

Almost surely, 238327978328576 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 38327978328576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53881742204928).

38327978328576 is an abundant number, since it is smaller than the sum of its proper divisors (69435506081280).

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

38327978328576 is a wasteful number, since it uses less digits than its factorization.

38327978328576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19023 (or 19007 counting only the distinct ones).

The product of its digits is 5120962560, while the sum is 78.

The spelling of 38327978328576 in words is "thirty-eight trillion, three hundred twenty-seven billion, nine hundred seventy-eight million, three hundred twenty-eight thousand, five hundred seventy-six".