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23969568768 = 211310613677
BaseRepresentation
bin10110010100101100…
…101001100000000000
32021212110222020220020
4112110230221200000
5343042202200033
615002251013440
71505662654455
oct262454514000
967773866806
1023969568768
11a190218872
12478b43a280
13234cc02cb2
14123559782c
159544ce6b3
hex594b29800

23969568768 has 96 divisors (see below), whose sum is σ = 63980869680. Its totient is φ = 7980154880.

The previous prime is 23969568757. The next prime is 23969568787. The reversal of 23969568768 is 86786596932.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 6516946 + ... + 6520622.

Almost surely, 223969568768 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 23969568768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31990434840).

23969568768 is an abundant number, since it is smaller than the sum of its proper divisors (40011300912).

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

23969568768 is a wasteful number, since it uses less digits than its factorization.

23969568768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4763 (or 4743 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 69.

The spelling of 23969568768 in words is "twenty-three billion, nine hundred sixty-nine million, five hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1061 1536 2048 2122 3072 3183 3677 4244 6144 6366 7354 8488 11031 12732 14708 16976 22062 25464 29416 33952 44124 50928 58832 67904 88248 101856 117664 135808 176496 203712 235328 271616 352992 407424 470656 543232 705984 814848 941312 1086464 1411968 1629696 1882624 2172928 2823936 3259392 3765248 3901297 5647872 6518784 7530496 7802594 11295744 11703891 15605188 22591488 23407782 31210376 46815564 62420752 93631128 124841504 187262256 249683008 374524512 499366016 749049024 998732032 1498098048 1997464064 2996196096 3994928128 5992392192 7989856256 11984784384 23969568768