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56135978496 = 29321319313743
BaseRepresentation
bin110100010001111101…
…110000111000000000
312100220012202011201200
4310101331300320000
51404431302302441
641442152501200
74025046641613
oct642175607000
9170805664650
1056135978496
1121897329564
12aa679aa800
1353a8068530
142a0761817a
1516d83dc7b6
hexd11f70e00

56135978496 has 960 divisors, whose sum is σ = 199233914880. Its totient is φ = 15049359360.

The previous prime is 56135978489. The next prime is 56135978501. The reversal of 56135978496 is 69487953165.

56135978496 is a `hidden beast` number, since 5 + 6 + 135 + 9 + 7 + 8 + 496 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1305487851 + ... + 1305487893.

It is an arithmetic number, because the mean of its divisors is an integer number (207535328).

Almost surely, 256135978496 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 56135978496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99616957440).

56135978496 is an abundant number, since it is smaller than the sum of its proper divisors (143097936384).

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

56135978496 is a wasteful number, since it uses less digits than its factorization.

56135978496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The spelling of 56135978496 in words is "fifty-six billion, one hundred thirty-five million, nine hundred seventy-eight thousand, four hundred ninety-six".