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1313852664 = 233314737573
BaseRepresentation
bin100111001001111…
…1100110011111000
310101120020122000210
41032103330303320
510142321241124
6334212231120
744362364145
oct11623746370
93346218023
101313852664
116146a9a53
1230800b4a0
1317c278317
14c66c93cc
157a529a29
hex4e4fccf8

1313852664 has 64 divisors (see below), whose sum is σ = 3462819840. Its totient is φ = 414794880.

The previous prime is 1313852629. The next prime is 1313852671. The reversal of 1313852664 is 4662583131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16182 + ... + 53754.

It is an arithmetic number, because the mean of its divisors is an integer number (54106560).

Almost surely, 21313852664 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 1313852664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731409920).

1313852664 is an abundant number, since it is smaller than the sum of its proper divisors (2148967176).

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

1313852664 is a wasteful number, since it uses less digits than its factorization.

1313852664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37660 (or 37656 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 1313852664 is about 36247.1055947920. The cubic root of 1313852664 is about 1095.2557839524.

The spelling of 1313852664 in words is "one billion, three hundred thirteen million, eight hundred fifty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 31 47 62 93 94 124 141 186 188 248 282 372 376 564 744 1128 1457 2914 4371 5828 8742 11656 17484 34968 37573 75146 112719 150292 225438 300584 450876 901752 1164763 1765931 2329526 3494289 3531862 4659052 5297793 6988578 7063724 9318104 10595586 13977156 14127448 21191172 27954312 42382344 54743861 109487722 164231583 218975444 328463166 437950888 656926332 1313852664