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16312180864 = 277103176753
BaseRepresentation
bin11110011000100100…
…00010000010000000
31120002211020122102211
433030102002002000
5231401404241424
611254350351504
71115142151420
oct171422020200
946084218384
1016312180864
116a10889a11
1231b2abb594
1316cc65a435
14b0a5d6480
1565710db94
hex3cc482080

16312180864 has 64 divisors (see below), whose sum is σ = 37500128640. Its totient is φ = 6923022336.

The previous prime is 16312180847. The next prime is 16312180883. The reversal of 16312180864 is 46808121361.

It is a tau number, because it is divible by the number of its divisors (64).

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, 3912 + ... + 180664.

It is an arithmetic number, because the mean of its divisors is an integer number (585939510).

Almost surely, 216312180864 is an apocalyptic number.

16312180864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16312180864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18750064320).

16312180864 is an abundant number, since it is smaller than the sum of its proper divisors (21187947776).

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

16312180864 is a wasteful number, since it uses less digits than its factorization.

16312180864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176877 (or 176865 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 16312180864 in words is "sixteen billion, three hundred twelve million, one hundred eighty thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 128 206 224 412 448 721 824 896 1442 1648 2884 3296 5768 6592 11536 13184 23072 46144 92288 176753 353506 707012 1237271 1414024 2474542 2828048 4949084 5656096 9898168 11312192 18205559 19796336 22624384 36411118 39592672 72822236 79185344 127438913 145644472 158370688 254877826 291288944 509755652 582577888 1019511304 1165155776 2039022608 2330311552 4078045216 8156090432 16312180864