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1318289664 = 2838320681
BaseRepresentation
bin100111010010011…
…1000000100000000
310101212121001110010
41032210320010000
510144440232124
6334451304520
744445164046
oct11644700400
93355531403
101318289664
1161715a59a
123095ab140
1318016ca73
14c7122396
157ab04529
hex4e938100

1318289664 has 72 divisors (see below), whose sum is σ = 3551016672. Its totient is φ = 434114560.

The previous prime is 1318289659. The next prime is 1318289719. The reversal of 1318289664 is 4669828131.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 53404 + ... + 74084.

It is an arithmetic number, because the mean of its divisors is an integer number (49319676).

Almost surely, 21318289664 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 1318289664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775508336).

1318289664 is an abundant number, since it is smaller than the sum of its proper divisors (2232727008).

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

1318289664 is an equidigital number, since it uses as much as digits as its factorization.

1318289664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20783 (or 20769 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 1318289664 is about 36308.2588951880. The cubic root of 1318289664 is about 1096.4873247976.

The spelling of 1318289664 in words is "one billion, three hundred eighteen million, two hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 256 332 384 498 664 768 996 1328 1992 2656 3984 5312 7968 10624 15936 20681 21248 31872 41362 62043 63744 82724 124086 165448 248172 330896 496344 661792 992688 1323584 1716523 1985376 2647168 3433046 3970752 5149569 5294336 6866092 7941504 10299138 13732184 15883008 20598276 27464368 41196552 54928736 82393104 109857472 164786208 219714944 329572416 439429888 659144832 1318289664