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56464708711320 = 2332571319293128107
BaseRepresentation
bin11001101011010101101101…
…11001111011001110011000
321101220222021122010022101200
430311222312321323032120
524400104210412230240
6320031310140514200
714615304056000340
oct1465526671731630
9241828248108350
1056464708711320
1116a9a604043458
1263bb2a484b960
1325677a353c1b0
14dd2c99567d20
1567db9b30c930
hex335ab6e7b398

56464708711320 has 768 divisors, whose sum is σ = 245944363392000. Its totient is φ = 10897220210688.

The previous prime is 56464708711303. The next prime is 56464708711357. The reversal of 56464708711320 is 2311780746465.

56464708711320 is a `hidden beast` number, since 5 + 6 + 464 + 70 + 87 + 1 + 1 + 32 + 0 = 666.

It is a super-2 number, since 2×564647087113202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16486707 + ... + 19614813.

It is an arithmetic number, because the mean of its divisors is an integer number (320240056500).

Almost surely, 256464708711320 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 56464708711320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122972181696000).

56464708711320 is an abundant number, since it is smaller than the sum of its proper divisors (189479654680680).

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

56464708711320 is a wasteful number, since it uses less digits than its factorization.

56464708711320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128192 (or 3128185 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 56464708711320 in words is "fifty-six trillion, four hundred sixty-four billion, seven hundred eight million, seven hundred eleven thousand, three hundred twenty".