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56805562968 = 2337111719591613
BaseRepresentation
bin110100111001111000…
…000001101001011000
312102121212200120221120
4310321320001221120
51412314211003333
642032432205240
74050460214130
oct647170015130
9172555616846
1056805562968
1122100294260
12b014099820
1354839b876b
142a6c515ac0
1517270a2db3
hexd39e01a58

56805562968 has 512 divisors, whose sum is σ = 200807424000. Its totient is φ = 12924887040.

The previous prime is 56805562939. The next prime is 56805562969. The reversal of 56805562968 is 86926550865.

It is a super-2 number, since 2×568055629682 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56805562969) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35216530 + ... + 35218142.

It is an arithmetic number, because the mean of its divisors is an integer number (392202000).

Almost surely, 256805562968 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 56805562968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100403712000).

56805562968 is an abundant number, since it is smaller than the sum of its proper divisors (144001861032).

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

56805562968 is a wasteful number, since it uses less digits than its factorization.

56805562968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 60.

The spelling of 56805562968 in words is "fifty-six billion, eight hundred five million, five hundred sixty-two thousand, nine hundred sixty-eight".