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65377616512 = 2713237716529
BaseRepresentation
bin111100111000110011…
…110100001010000000
320020202021112000210011
4330320303310022000
52032343132212022
650011205114304
74503055366645
oct747063641200
9206667460704
1065377616512
11257a9a61a2a
12108069b8994
13621b8c10b0
143242b6ddcc
151a798ea977
hexf38cf4280

65377616512 has 64 divisors (see below), whose sum is σ = 140330773800. Its totient is φ = 30159765504.

The previous prime is 65377616509. The next prime is 65377616543. The reversal of 65377616512 is 21561677356.

It can be written as a sum of positive squares in 4 ways, for example, as 55270129216 + 10107487296 = 235096^2 + 100536^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×653776165122 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3947064 + ... + 3963592.

Almost surely, 265377616512 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 65377616512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70165386900).

65377616512 is an abundant number, since it is smaller than the sum of its proper divisors (74953157288).

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

65377616512 is a wasteful number, since it uses less digits than its factorization.

65377616512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18933 (or 18921 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 49.

The spelling of 65377616512 in words is "sixty-five billion, three hundred seventy-seven million, six hundred sixteen thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 2377 4754 9508 16529 19016 30901 33058 38032 61802 66116 76064 123604 132232 152128 214877 247208 264464 304256 429754 494416 528928 859508 988832 1057856 1719016 1977664 2115712 3438032 3955328 6876064 13752128 27504256 39289433 78578866 157157732 314315464 510762629 628630928 1021525258 1257261856 2043050516 2514523712 4086101032 5029047424 8172202064 16344404128 32688808256 65377616512