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38872387584 = 2123219223127
BaseRepresentation
bin100100001100111110…
…011001000000000000
310201100002020220001200
4210030332121000000
51114102312400314
625505134101200
72544202562022
oct441476310000
9121302226050
1038872387584
11155384a4158
12764a34a800
133886584594
141c4a922012
1510279e9709
hex90cf99000

38872387584 has 468 divisors, whose sum is σ = 124631110656. Its totient is φ = 11649318912.

The previous prime is 38872387583. The next prime is 38872387601. The reversal of 38872387584 is 48578327883.

It is a super-2 number, since 2×388723875842 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38872387583) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 306081729 + ... + 306081855.

It is an arithmetic number, because the mean of its divisors is an integer number (266305792).

Almost surely, 238872387584 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 38872387584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62315555328).

38872387584 is an abundant number, since it is smaller than the sum of its proper divisors (85758723072).

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

38872387584 is a wasteful number, since it uses less digits than its factorization.

38872387584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 174 counting only the distinct ones).

The product of its digits is 72253440, while the sum is 63.

The spelling of 38872387584 in words is "thirty-eight billion, eight hundred seventy-two million, three hundred eighty-seven thousand, five hundred eighty-four".