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520968075264 = 21132721344371
BaseRepresentation
bin1111001010011000001…
…11011111100000000000
31211210201011100022002200
413211030013133200000
532013420311402024
61035155053513200
752432034401200
oct7451407374000
91753634308080
10520968075264
11190a3999581a
1284b731a2800
133a1862657c0
141b301d06400
15d8418762c9
hex794c1df800

520968075264 has 432 divisors, whose sum is σ = 1884990449160. Its totient is φ = 137395077120.

The previous prime is 520968075247. The next prime is 520968075307. The reversal of 520968075264 is 462570869025.

520968075264 is a `hidden beast` number, since 5 + 20 + 96 + 8 + 0 + 7 + 526 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 520968075264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11718999 + ... + 11763369.

Almost surely, 2520968075264 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 520968075264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942495224580).

520968075264 is an abundant number, since it is smaller than the sum of its proper divisors (1364022373896).

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

520968075264 is a wasteful number, since it uses less digits than its factorization.

520968075264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44426 (or 44396 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 520968075264 in words is "five hundred twenty billion, nine hundred sixty-eight million, seventy-five thousand, two hundred sixty-four".