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56595969144 = 2332111331177319
BaseRepresentation
bin110100101101011000…
…011111010001111000
312102002021022010021100
4310231120133101320
51411402032003034
641555544011400
74042333541331
oct645530372170
9172067263240
1056595969144
1122002a49320
12ab75a60b60
13544c452750
142a4c757288
1517139a1099
hexd2d61f478

56595969144 has 192 divisors, whose sum is σ = 185888102400. Its totient is φ = 15320275200.

The previous prime is 56595969139. The next prime is 56595969149. The reversal of 56595969144 is 44196959565.

56595969144 is a `hidden beast` number, since 565 + 9 + 5 + 9 + 69 + 1 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (56595969139) and next prime (56595969149).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56595969149) 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 47 ways as a sum of consecutive naturals, for example, 230517 + ... + 407835.

It is an arithmetic number, because the mean of its divisors is an integer number (968167200).

Almost surely, 256595969144 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 56595969144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92944051200).

56595969144 is an abundant number, since it is smaller than the sum of its proper divisors (129292133256).

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

56595969144 is a wasteful number, since it uses less digits than its factorization.

56595969144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177386 (or 177379 counting only the distinct ones).

The product of its digits is 52488000, while the sum is 63.

The spelling of 56595969144 in words is "fifty-six billion, five hundred ninety-five million, nine hundred sixty-nine thousand, one hundred forty-four".