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56961440081 = 7213297733989
BaseRepresentation
bin110101000011001010…
…101001100101010001
312110000201222222010222
4311003022221211101
51413124112040311
642100121202425
74054362152300
oct650312514521
9173021888128
1056961440081
1122180280017
12b058330415
1354aa094740
142a850d0437
151735ae3adb
hexd432a9951

56961440081 has 48 divisors (see below), whose sum is σ = 73932944400. Its totient is φ = 43447122432.

The previous prime is 56961440057. The next prime is 56961440093. The reversal of 56961440081 is 18004416965.

It can be written as a sum of positive squares in 8 ways, for example, as 11343315025 + 45618125056 = 106505^2 + 213584^2 .

It is not a de Polignac number, because 56961440081 - 210 = 56961439057 is a prime.

It is a super-2 number, since 2×569614400812 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (56961440021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14277635 + ... + 14281623.

It is an arithmetic number, because the mean of its divisors is an integer number (1540269675).

Almost surely, 256961440081 is an apocalyptic number.

It is an amenable number.

56961440081 is a deficient number, since it is larger than the sum of its proper divisors (16971504319).

56961440081 is a wasteful number, since it uses less digits than its factorization.

56961440081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4818 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 56961440081 in words is "fifty-six billion, nine hundred sixty-one million, four hundred forty thousand, eighty-one".

Divisors: 1 7 13 29 49 91 203 377 637 773 1421 2639 3989 5411 10049 18473 22417 27923 37877 51857 70343 115681 156919 195461 291421 362999 492401 809767 1098433 1503853 2039947 2540993 3083497 5668369 10526971 14279629 21584479 40085461 73688797 89421413 151091353 280598227 625949891 1162478369 1964187589 4381649237 8137348583 56961440081