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538916498120 = 23572111337157331
BaseRepresentation
bin1111101011110011110…
…11010010101011001000
31220112001000110122120202
413311321323102223020
532312200110414440
61051324054511332
753635565436500
oct7657173225310
91815030418522
10538916498120
1119860a34a540
1288542065548
133ba868a7b60
141c125948a00
15e042442615
hex7d79ed2ac8

538916498120 has 768 divisors, whose sum is σ = 1717929803520. Its totient is φ = 149448499200.

The previous prime is 538916498117. The next prime is 538916498171. The reversal of 538916498120 is 21894619835.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1628146355 + ... + 1628146685.

It is an arithmetic number, because the mean of its divisors is an integer number (2236887765).

Almost surely, 2538916498120 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 538916498120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858964901760).

538916498120 is an abundant number, since it is smaller than the sum of its proper divisors (1179013305400).

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

538916498120 is a wasteful number, since it uses less digits than its factorization.

538916498120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 56.

The spelling of 538916498120 in words is "five hundred thirty-eight billion, nine hundred sixteen million, four hundred ninety-eight thousand, one hundred twenty".