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38890964160 = 263553311511
BaseRepresentation
bin100100001110000101…
…010000010011000000
310201101101012200100000
4210032011100103000
51114122041323120
625511040200000
72544516512106
oct441605202300
9121341180300
1038890964160
1115547a31aa4
127654609000
13388a389b39
141c4d199c76
151029468990
hex90e1504c0

38890964160 has 336 divisors, whose sum is σ = 139234298112. Its totient is φ = 10332748800.

The previous prime is 38890964113. The next prime is 38890964173. The reversal of 38890964160 is 6146909883.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 38890964097 and 38890964106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25737805 + ... + 25739315.

It is an arithmetic number, because the mean of its divisors is an integer number (414387792).

Almost surely, 238890964160 is an apocalyptic number.

38890964160 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 38890964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69617149056).

38890964160 is an abundant number, since it is smaller than the sum of its proper divisors (100343333952).

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

38890964160 is a wasteful number, since it uses less digits than its factorization.

38890964160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 38890964160 in words is "thirty-eight billion, eight hundred ninety million, nine hundred sixty-four thousand, one hundred sixty".