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2319113664 = 26327575177
BaseRepresentation
bin1000101000111010…
…1101110111000000
312222121211011212200
42022032231313000
514222143114124
61022042353200
7111320066220
oct21216556700
95877734780
102319113664
11a9009646a
125487bb800
132ac60800a
14180006080
15d88e9bc9
hex8a3addc0

2319113664 has 84 divisors (see below), whose sum is σ = 7596951024. Its totient is φ = 662602752.

The previous prime is 2319113663. The next prime is 2319113681. The reversal of 2319113664 is 4663119132.

It is a tau number, because it is divible by the number of its divisors (84).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2319113663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 283557 + ... + 291620.

Almost surely, 22319113664 is an apocalyptic number.

2319113664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2319113664 is an abundant number, since it is smaller than the sum of its proper divisors (5277837360).

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

2319113664 is a wasteful number, since it uses less digits than its factorization.

2319113664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575202 (or 575189 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 2319113664 is about 48157.1766614281. The cubic root of 2319113664 is about 1323.6525833075.

The spelling of 2319113664 in words is "two billion, three hundred nineteen million, one hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 575177 1150354 1725531 2300708 3451062 4026239 4601416 5176593 6902124 8052478 9202832 10353186 12078717 13804248 16104956 18405664 20706372 24157434 27608496 32209912 36236151 36811328 41412744 48314868 55216992 64419824 72472302 82825488 96629736 110433984 128839648 144944604 165650976 193259472 257679296 289889208 331301952 386518944 579778416 773037888 1159556832 2319113664