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1314083664 = 24329125581
BaseRepresentation
bin100111001010011…
…0101001101010000
310101120200100220100
41032110311031100
510142401134124
6334221212400
744364345465
oct11624651520
93346610810
101314083664
11614847563
12308101100
1317c3294ca
14c674966c
157a5731c9
hex4e535350

1314083664 has 30 divisors (see below), whose sum is σ = 3677609546. Its totient is φ = 438027840.

The previous prime is 1314083657. The next prime is 1314083671. The reversal of 1314083664 is 4663804131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1314083657) and next prime (1314083671).

It can be written as a sum of positive squares in only one way, i.e., 1245525264 + 68558400 = 35292^2 + 8280^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4562647 + ... + 4562934.

Almost surely, 21314083664 is an apocalyptic number.

It is an amenable number.

1314083664 is an abundant number, since it is smaller than the sum of its proper divisors (2363525882).

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

1314083664 is a wasteful number, since it uses less digits than its factorization.

1314083664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9125595 (or 9125586 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1314083664 is about 36250.2919160660. The cubic root of 1314083664 is about 1095.3199690438.

Adding to 1314083664 its reverse (4663804131), we get a palindrome (5977887795).

The spelling of 1314083664 in words is "one billion, three hundred fourteen million, eighty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 9125581 18251162 27376743 36502324 54753486 73004648 82130229 109506972 146009296 164260458 219013944 328520916 438027888 657041832 1314083664