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713676505536 = 263519103131179
BaseRepresentation
bin10100110001010100110…
…11110100000111000000
32112020010100020212100000
422120222123310013000
543143102141134121
61303505232200000
7102363366130341
oct12305233640700
92466110225300
10713676505536
11255739866735
12b6394999000
13523b7a43177
14267838500c8
151386eada526
hexa62a6f41c0

713676505536 has 672 divisors, whose sum is σ = 2284624742400. Its totient is φ = 220242447360.

The previous prime is 713676505523. The next prime is 713676505561. The reversal of 713676505536 is 635505676317.

713676505536 is a `hidden beast` number, since 7 + 1 + 36 + 7 + 6 + 50 + 553 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 3987019495 + ... + 3987019673.

It is an arithmetic number, because the mean of its divisors is an integer number (3399739200).

Almost surely, 2713676505536 is an apocalyptic number.

713676505536 is a gapful number since it is divisible by the number (76) 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 713676505536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142312371200).

713676505536 is an abundant number, since it is smaller than the sum of its proper divisors (1570948236864).

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

713676505536 is a wasteful number, since it uses less digits than its factorization.

713676505536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 11907000, while the sum is 54.

The spelling of 713676505536 in words is "seven hundred thirteen billion, six hundred seventy-six million, five hundred five thousand, five hundred thirty-six".