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2506465664 = 2723851381
BaseRepresentation
bin1001010101100101…
…1010000110000000
320110200100122111122
42111121122012000
520113123400124
61052414131412
7116053415033
oct22531320600
96420318448
102506465664
11107691a82a
1259b4b0b68
1330c3843a1
1419ac5501a
15ea0a675e
hex9565a180

2506465664 has 32 divisors (see below), whose sum is σ = 5210457840. Its totient is φ = 1198743040.

The previous prime is 2506465651. The next prime is 2506465681. The reversal of 2506465664 is 4665646052.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 422747 + ... + 428634.

Almost surely, 22506465664 is an apocalyptic number.

It is an amenable number.

2506465664 is an abundant number, since it is smaller than the sum of its proper divisors (2703992176).

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

2506465664 is an equidigital number, since it uses as much as digits as its factorization.

2506465664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851418 (or 851406 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 44.

The square root of 2506465664 is about 50064.6148891610. The cubic root of 2506465664 is about 1358.3778352222.

The spelling of 2506465664 in words is "two billion, five hundred six million, four hundred sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 1472 2944 851381 1702762 3405524 6811048 13622096 19581763 27244192 39163526 54488384 78327052 108976768 156654104 313308208 626616416 1253232832 2506465664