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1314686664 = 2332371932557
BaseRepresentation
bin100111001011100…
…1000011011001000
310101121211000001200
41032113020123020
510143024433124
6334242144200
744402436504
oct11627103310
93347730050
101314686664
11615119605
12308352060
1317c4aab05
14c6865304
157a641bc9
hex4e5c86c8

1314686664 has 96 divisors (see below), whose sum is σ = 3677227320. Its totient is φ = 424009728.

The previous prime is 1314686641. The next prime is 1314686671. The reversal of 1314686664 is 4666864131.

It can be written as a sum of positive squares in 4 ways, for example, as 1171692900 + 142993764 = 34230^2 + 11958^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 512874 + ... + 515430.

Almost surely, 21314686664 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 1314686664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838613660).

1314686664 is an abundant number, since it is smaller than the sum of its proper divisors (2362540656).

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

1314686664 is a wasteful number, since it uses less digits than its factorization.

1314686664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799 (or 2792 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 1314686664 is about 36258.6081365515. The cubic root of 1314686664 is about 1095.4874817017.

The spelling of 1314686664 in words is "one billion, three hundred fourteen million, six hundred eighty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 193 222 296 333 386 444 579 666 772 888 1158 1332 1544 1737 2316 2557 2664 3474 4632 5114 6948 7141 7671 10228 13896 14282 15342 20456 21423 23013 28564 30684 42846 46026 57128 61368 64269 85692 92052 94609 128538 171384 184104 189218 257076 283827 378436 493501 514152 567654 756872 851481 987002 1135308 1480503 1702962 1974004 2270616 2961006 3405924 3948008 4441509 5922012 6811848 8883018 11844024 17766036 18259537 35532072 36519074 54778611 73038148 109557222 146076296 164335833 219114444 328671666 438228888 657343332 1314686664