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536676396480 = 26325723802979
BaseRepresentation
bin1111100111101000110…
…01111110110111000000
31220022020220022200211100
413303310121332313000
532243103124141410
61050313513414400
753526225050100
oct7636431766700
91808226280740
10536676396480
1119766a91aa74
1288017a0a400
133b7ba775623
141bd9222d200
15de609538c0
hex7cf467edc0

536676396480 has 252 divisors, whose sum is σ = 2147322233160. Its totient is φ = 122668858368.

The previous prime is 536676396467. The next prime is 536676396497. The reversal of 536676396480 is 84693676635.

It is a happy number.

536676396480 is a `hidden beast` number, since 5 + 3 + 6 + 6 + 7 + 63 + 96 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 1760370 + ... + 2042609.

Almost surely, 2536676396480 is an apocalyptic number.

It is an amenable number.

536676396480 is an abundant number, since it is smaller than the sum of its proper divisors (1610645836680).

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

536676396480 is a wasteful number, since it uses less digits than its factorization.

536676396480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3803016 (or 3802996 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

It can be divided in two parts, 536676 and 396480, that added together give a square (933156 = 9662).

The spelling of 536676396480 in words is "five hundred thirty-six billion, six hundred seventy-six million, three hundred ninety-six thousand, four hundred eighty".