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6511000064 = 2997131101
BaseRepresentation
bin1100001000001010…
…11111101000000000
3121210202121001222112
412010011133220000
5101313304000224
62554025154452
7320230405322
oct60405375000
917722531875
106511000064
112841320798
12131862ba28
137c9c0297a
1445aa29612
1528192530e
hex18415fa00

6511000064 has 40 divisors (see below), whose sum is σ = 13143499908. Its totient is φ = 3221913600.

The previous prime is 6511000061. The next prime is 6511000073. The reversal of 6511000064 is 4600001156.

It can be written as a sum of positive squares in 2 ways, for example, as 6489913600 + 21086464 = 80560^2 + 4592^2 .

It is not an unprimeable number, because it can be changed into a prime (6511000061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15887 + ... + 115214.

Almost surely, 26511000064 is an apocalyptic number.

6511000064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6511000064 is an abundant number, since it is smaller than the sum of its proper divisors (6632499844).

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

6511000064 is an equidigital number, since it uses as much as digits as its factorization.

6511000064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131216 (or 131200 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 6511000064 is about 80690.7681460525. The cubic root of 6511000064 is about 1867.3077507773.

The spelling of 6511000064 in words is "six billion, five hundred eleven million, sixty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 512 776 1552 3104 6208 12416 24832 49664 131101 262202 524404 1048808 2097616 4195232 8390464 12716797 16780928 25433594 33561856 50867188 67123712 101734376 203468752 406937504 813875008 1627750016 3255500032 6511000064