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85386357504 = 28327171937443
BaseRepresentation
bin100111110000101101…
…1000110101100000000
322011101201111101102100
41033201123012230000
52344332401420004
6103120445550400
76111645030540
oct1174133065400
9264351441370
1085386357504
1133237411208
121466b875400
13808a0394c6
1441c028d320
15234b2e1739
hex13e16c6b00

85386357504 has 864 divisors, whose sum is σ = 322792404480. Its totient is φ = 21116878848.

The previous prime is 85386357493. The next prime is 85386357547. The reversal of 85386357504 is 40575368358.

85386357504 is a `hidden beast` number, since 8 + 5 + 3 + 8 + 63 + 575 + 0 + 4 = 666.

It is a super-2 number, since 2×853863575042 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 192745507 + ... + 192745949.

It is an arithmetic number, because the mean of its divisors is an integer number (373602320).

Almost surely, 285386357504 is an apocalyptic number.

85386357504 is a gapful number since it is divisible by the number (84) 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 85386357504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161396202240).

85386357504 is an abundant number, since it is smaller than the sum of its proper divisors (237406046976).

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

85386357504 is a wasteful number, since it uses less digits than its factorization.

85386357504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 85386357504 in words is "eighty-five billion, three hundred eighty-six million, three hundred fifty-seven thousand, five hundred four".