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38327697408 = 2143711131941
BaseRepresentation
bin100011101100100000…
…100100000000000000
310122221010022202121110
4203230200210000000
51111443342304113
625335115323320
72524540024020
oct435440440000
9118833282543
1038327697408
1115288a93390
127517a50540
1337ca782bc0
141bd8455a80
15ee4ca4bc3
hex8ec824000

38327697408 has 960 divisors, whose sum is σ = 147970529280. Its totient is φ = 8493465600.

The previous prime is 38327697379. The next prime is 38327697409. The reversal of 38327697408 is 80479672383.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (38327697409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 934821868 + ... + 934821908.

It is an arithmetic number, because the mean of its divisors is an integer number (154135968).

Almost surely, 238327697408 is an apocalyptic number.

38327697408 is a gapful number since it is divisible by the number (38) 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 38327697408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73985264640).

38327697408 is an abundant number, since it is smaller than the sum of its proper divisors (109642831872).

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

38327697408 is a wasteful number, since it uses less digits than its factorization.

38327697408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 38327697408 in words is "thirty-eight billion, three hundred twenty-seven million, six hundred ninety-seven thousand, four hundred eight".