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23268409344 = 21432157799
BaseRepresentation
bin10101101010111001…
…111100000000000000
32020001121121122222200
4111222321330000000
5340123203044334
614404522433200
71452420134055
oct255271740000
966047548880
1023268409344
119960457374
124614662800
13226a878c6b
1411aa3db02c
15912b7d799
hex56ae7c000

23268409344 has 90 divisors (see below), whose sum is σ = 67218223800. Its totient is φ = 7756087296.

The previous prime is 23268409331. The next prime is 23268409369. The reversal of 23268409344 is 44390486232.

23268409344 is a `hidden beast` number, since 2 + 3 + 268 + 40 + 9 + 344 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 23268409344.

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, 68557 + ... + 226355.

Almost surely, 223268409344 is an apocalyptic number.

23268409344 is a gapful number since it is divisible by the number (24) 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 23268409344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33609111900).

23268409344 is an abundant number, since it is smaller than the sum of its proper divisors (43949814456).

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

23268409344 is an equidigital number, since it uses as much as digits as its factorization.

23268409344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157833 (or 157804 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 23268409344 in words is "twenty-three billion, two hundred sixty-eight million, four hundred nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 16384 18432 24576 36864 49152 73728 147456 157799 315598 473397 631196 946794 1262392 1420191 1893588 2524784 2840382 3787176 5049568 5680764 7574352 10099136 11361528 15148704 20198272 22723056 30297408 40396544 45446112 60594816 80793088 90892224 121189632 161586176 181784448 242379264 323172352 363568896 484758528 646344704 727137792 969517056 1292689408 1454275584 1939034112 2585378816 2908551168 3878068224 5817102336 7756136448 11634204672 23268409344