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1315409664 = 2836192767
BaseRepresentation
bin100111001100111…
…1000111100000000
310101200011201211110
41032121320330000
510143221102124
6334305443320
744411540412
oct11631707400
93350151743
101315409664
11615572828
12308640540
1317c6a1c1a
14c69b29b2
157a736029
hex4e678f00

1315409664 has 72 divisors (see below), whose sum is σ = 3507831040. Its totient is φ = 437603328.

The previous prime is 1315409657. The next prime is 1315409671. The reversal of 1315409664 is 4669045131.

It is an interprime number because it is at equal distance from previous prime (1315409657) and next prime (1315409671).

It is a congruent number.

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, 474009 + ... + 476775.

Almost surely, 21315409664 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 1315409664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753915520).

1315409664 is an abundant number, since it is smaller than the sum of its proper divisors (2192421376).

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

1315409664 is an equidigital number, since it uses as much as digits as its factorization.

1315409664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3405 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 1315409664 is about 36268.5768124419. The cubic root of 1315409664 is about 1095.6882626999.

The spelling of 1315409664 in words is "one billion, three hundred fifteen million, four hundred nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 619 768 1238 1857 2476 2767 3714 4952 5534 7428 8301 9904 11068 14856 16602 19808 22136 29712 33204 39616 44272 59424 66408 79232 88544 118848 132816 158464 177088 237696 265632 354176 475392 531264 708352 1062528 1712773 2125056 3425546 5138319 6851092 10276638 13702184 20553276 27404368 41106552 54808736 82213104 109617472 164426208 219234944 328852416 438469888 657704832 1315409664