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38999708160 = 2935717139307
BaseRepresentation
bin100100010100100100…
…000101001000000000
310201122221211110001120
4210110210011020000
51114332411130120
625525523032240
72550310023030
oct442444051000
9121587743046
1038999708160
11155a3355a76
127684b0b680
1338a6a725ba
141c5d7c58c0
151033c99140
hex914905200

38999708160 has 640 divisors, whose sum is σ = 152450242560. Its totient is φ = 8302362624.

The previous prime is 38999708149. The next prime is 38999708171. The reversal of 38999708160 is 6180799983.

It is an interprime number because it is at equal distance from previous prime (38999708149) and next prime (38999708171).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 38999708094 and 38999708103.

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, 127034727 + ... + 127035033.

It is an arithmetic number, because the mean of its divisors is an integer number (238203504).

Almost surely, 238999708160 is an apocalyptic number.

38999708160 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 38999708160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76225121280).

38999708160 is an abundant number, since it is smaller than the sum of its proper divisors (113450534400).

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

38999708160 is a wasteful number, since it uses less digits than its factorization.

38999708160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 60.

The spelling of 38999708160 in words is "thirty-eight billion, nine hundred ninety-nine million, seven hundred eight thousand, one hundred sixty".