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56096677440 = 2633531209441
BaseRepresentation
bin110100001111100111…
…110101111001000000
312100210110210110211000
4310033213311321000
51404341222134230
641434230252000
74024061614356
oct641747657100
9170713713730
1056096677440
1121877126051
12aa567b7000
13539cb87b7b
142a023077d6
1516d4c27b60
hexd0f9f5e40

56096677440 has 224 divisors, whose sum is σ = 204281349120. Its totient is φ = 14476492800.

The previous prime is 56096677421. The next prime is 56096677447. The reversal of 56096677440 is 4477669065.

56096677440 is a `hidden beast` number, since 56 + 0 + 96 + 67 + 7 + 440 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (56096677447) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 163120 + ... + 372560.

Almost surely, 256096677440 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 56096677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102140674560).

56096677440 is an abundant number, since it is smaller than the sum of its proper divisors (148184671680).

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

56096677440 is a wasteful number, since it uses less digits than its factorization.

56096677440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209498 (or 209482 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 56096677440 in words is "fifty-six billion, ninety-six million, six hundred seventy-seven thousand, four hundred forty".