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212553300504 = 2331923732271223
BaseRepresentation
bin1100010111110100101…
…0011111101000011000
3202022122012112102110010
43011331022133220120
511440302121104004
6241351242521520
721233161146516
oct3057512375030
9668565472403
10212553300504
1182163884716
123523b8062a0
1317074cab53c
14a4053ab4b6
1557e058aa89
hex317d29fa18

212553300504 has 256 divisors, whose sum is σ = 594758246400. Its totient is φ = 62993728512.

The previous prime is 212553300397. The next prime is 212553300521. The reversal of 212553300504 is 405003355212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173796037 + ... + 173797259.

It is an arithmetic number, because the mean of its divisors is an integer number (2323274400).

Almost surely, 2212553300504 is an apocalyptic number.

212553300504 is a gapful number since it is divisible by the number (24) 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 212553300504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297379123200).

212553300504 is an abundant number, since it is smaller than the sum of its proper divisors (382204945896).

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

212553300504 is a wasteful number, since it uses less digits than its factorization.

212553300504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 212553300504 its reverse (405003355212), we get a palindrome (617556655716).

The spelling of 212553300504 in words is "two hundred twelve billion, five hundred fifty-three million, three hundred thousand, five hundred four".