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38979897984 = 2732311012107
BaseRepresentation
bin100100010011011000…
…100000101010000000
310201121120112222121100
4210103120200222000
51114312323213414
625523534254400
72546646444306
oct442330405200
9121546488540
1038979897984
1115593155325
12767a357400
1338a29276c1
141c5ad0a276
151032184609
hex913620a80

38979897984 has 288 divisors, whose sum is σ = 118037761920. Its totient is φ = 12333312000.

The previous prime is 38979897967. The next prime is 38979897997. The reversal of 38979897984 is 48979897983.

38979897984 is a `hidden beast` number, since 389 + 7 + 98 + 9 + 79 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 364298059 + ... + 364298165.

It is an arithmetic number, because the mean of its divisors is an integer number (409853340).

Almost surely, 238979897984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38979897984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59018880960).

38979897984 is an abundant number, since it is smaller than the sum of its proper divisors (79057863936).

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

38979897984 is a wasteful number, since it uses less digits than its factorization.

38979897984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 244 counting only the distinct ones).

The product of its digits is 1975228416, while the sum is 81.

Subtracting 38979897984 from its reverse (48979897983), we obtain a palindrome (9999999999).

The spelling of 38979897984 in words is "thirty-eight billion, nine hundred seventy-nine million, eight hundred ninety-seven thousand, nine hundred eighty-four".