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38973969072 = 2435172920333
BaseRepresentation
bin100100010011000001…
…111001001010110000
310201121011101202200000
4210103001321022300
51114304314002242
625523203230000
72546545161663
oct442301711260
9121534352600
1038973969072
111558a8758a5
127678378300
1338a162cb7c
141c5a2056da
1510318b2a4c
hex9130792b0

38973969072 has 240 divisors, whose sum is σ = 123902382240. Its totient is φ = 11804921856.

The previous prime is 38973969061. The next prime is 38973969107. The reversal of 38973969072 is 27096937983.

38973969072 is a `hidden beast` number, since 3 + 8 + 97 + 396 + 90 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1906618 + ... + 1926950.

It is an arithmetic number, because the mean of its divisors is an integer number (516259926).

Almost surely, 238973969072 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 38973969072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61951191120).

38973969072 is an abundant number, since it is smaller than the sum of its proper divisors (84928413168).

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

38973969072 is a wasteful number, since it uses less digits than its factorization.

38973969072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20402 (or 20384 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 38973969072 in words is "thirty-eight billion, nine hundred seventy-three million, nine hundred sixty-nine thousand, seventy-two".