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56344796001 = 321319154916363
BaseRepresentation
bin110100011110011010…
…010101101101100001
312101102202200012111100
4310132122111231201
51410343231433001
641515012305013
74033163602164
oct643632255541
9171382605440
1056344796001
112199419420a
12ab05912169
13540c3bc0a0
142a27253adb
1516eb8d9586
hexd1e695b61

56344796001 has 48 divisors (see below), whose sum is σ = 92325688000. Its totient is φ = 32825575296.

The previous prime is 56344795979. The next prime is 56344796017. The reversal of 56344796001 is 10069744365.

56344796001 is a `hidden beast` number, since 5 + 6 + 34 + 4 + 7 + 9 + 600 + 1 = 666.

It is not a de Polignac number, because 56344796001 - 27 = 56344795873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56344796051) 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, 3435246 + ... + 3451608.

Almost surely, 256344796001 is an apocalyptic number.

It is an amenable number.

56344796001 is a deficient number, since it is larger than the sum of its proper divisors (35980891999).

56344796001 is a wasteful number, since it uses less digits than its factorization.

56344796001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17950 (or 17947 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 56344796001 in words is "fifty-six billion, three hundred forty-four million, seven hundred ninety-six thousand, one".

Divisors: 1 3 9 13 19 39 57 117 171 247 741 1549 2223 4647 13941 16363 20137 29431 49089 60411 88293 147267 181233 212719 264879 310897 382603 638157 932691 1147809 1914471 2798073 3443427 4041661 12124983 25346287 36374949 76038861 228116583 329501731 481579453 988505193 1444738359 2965515579 4334215077 6260532889 18781598667 56344796001