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38231656320 = 27351113178191
BaseRepresentation
bin100011100110110010…
…001100011110000000
310122200102121101000010
4203212302030132000
51111244301000240
625321405024520
72522262500604
oct434662143600
9118612541003
1038231656320
1115239856290
1274ab855140
1337b38c7360
141bc97b5504
15edb633280
hex8e6c8c780

38231656320 has 512 divisors, whose sum is σ = 151608360960. Its totient is φ = 8051097600.

The previous prime is 38231656313. The next prime is 38231656361. The reversal of 38231656320 is 2365613283.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4663425 + ... + 4671615.

It is an arithmetic number, because the mean of its divisors is an integer number (296110080).

Almost surely, 238231656320 is an apocalyptic number.

38231656320 is a gapful number since it is divisible by the number (30) 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 38231656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75804180480).

38231656320 is an abundant number, since it is smaller than the sum of its proper divisors (113376704640).

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

38231656320 is a wasteful number, since it uses less digits than its factorization.

38231656320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8254 (or 8242 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 38231656320 in words is "thirty-eight billion, two hundred thirty-one million, six hundred fifty-six thousand, three hundred twenty".