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536228630784 = 283271119315661
BaseRepresentation
bin1111100110110011011…
…01111001000100000000
31220021002200202211202200
413303121231321010000
532241144012141114
61050201240313200
753512150104540
oct7633155710400
91807080684680
10536228630784
1119746009aa80
1287b11a72800
133b748a7b902
141bd4c993320
15de364a7409
hex7cd9b79100

536228630784 has 432 divisors, whose sum is σ = 1937690611584. Its totient is φ = 138549657600.

The previous prime is 536228630759. The next prime is 536228630803. The reversal of 536228630784 is 487036822635.

536228630784 is a `hidden beast` number, since 5 + 3 + 622 + 8 + 6 + 3 + 0 + 7 + 8 + 4 = 666.

It is a super-2 number, since 2×5362286307842 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 536228630784.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34231914 + ... + 34247574.

Almost surely, 2536228630784 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 536228630784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968845305792).

536228630784 is an abundant number, since it is smaller than the sum of its proper divisors (1401461980800).

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

536228630784 is a wasteful number, since it uses less digits than its factorization.

536228630784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15894 (or 15877 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 536228630784 in words is "five hundred thirty-six billion, two hundred twenty-eight million, six hundred thirty thousand, seven hundred eighty-four".