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94932139320 = 23355531271451
BaseRepresentation
bin101100001101001100…
…1010111110100111000
3100002000222120100100000
41120122121113310320
53023410111424240
6111340005113000
76600335604324
oct1303231276470
9302028510300
1094932139320
1137295799397
12164946b8760
138c4b8b1005
144847d76984
15270937b430
hex161a657d38

94932139320 has 384 divisors, whose sum is σ = 328786698240. Its totient is φ = 24625036800.

The previous prime is 94932139273. The next prime is 94932139321. The reversal of 94932139320 is 2393123949.

94932139320 is a `hidden beast` number, since 9 + 493 + 2 + 139 + 3 + 20 = 666.

It is a super-2 number, since 2×949321393202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94932139321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65424595 + ... + 65426045.

It is an arithmetic number, because the mean of its divisors is an integer number (856215360).

Almost surely, 294932139320 is an apocalyptic number.

94932139320 is a gapful number since it is divisible by the number (90) 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 94932139320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164393349120).

94932139320 is an abundant number, since it is smaller than the sum of its proper divisors (233854558920).

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

94932139320 is a wasteful number, since it uses less digits than its factorization.

94932139320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 94932139320 in words is "ninety-four billion, nine hundred thirty-two million, one hundred thirty-nine thousand, three hundred twenty".