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23268207648 = 253734625309
BaseRepresentation
bin10101101010111001…
…001010110000100000
32020001121020102022110
4111222321022300200
5340123130121043
614404514235320
71452415334040
oct255271126040
966047212273
1023268207648
119960329884
124614585b40
13226a80820a
1411aa387720
15912b3db33
hex56ae4ac20

23268207648 has 48 divisors (see below), whose sum is σ = 69804624960. Its totient is φ = 6648059136.

The previous prime is 23268207631. The next prime is 23268207653. The reversal of 23268207648 is 84670286232.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 23268207597 and 23268207606.

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, 17311983 + ... + 17313326.

It is an arithmetic number, because the mean of its divisors is an integer number (1454263020).

Almost surely, 223268207648 is an apocalyptic number.

23268207648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

23268207648 is an abundant number, since it is smaller than the sum of its proper divisors (46536417312).

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

23268207648 is a wasteful number, since it uses less digits than its factorization.

23268207648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34625329 (or 34625321 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 23268207648 in words is "twenty-three billion, two hundred sixty-eight million, two hundred seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 34625309 69250618 103875927 138501236 207751854 242377163 277002472 415503708 484754326 554004944 727131489 831007416 969508652 1108009888 1454262978 1662014832 1939017304 2908525956 3324029664 3878034608 5817051912 7756069216 11634103824 23268207648