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23157255296 = 277176124923
BaseRepresentation
bin10101100100010001…
…111010110010000000
32012202212110110022002
4111210101322302000
5334411224132141
614345512203132
71446600264560
oct254421726200
965685413262
1023157255296
11990373771a
1245a33994a8
13225082b536
141199744da0
15908023e9b
hex56447ac80

23157255296 has 128 divisors (see below), whose sum is σ = 56742975360. Its totient is φ = 9187246080.

The previous prime is 23157255281. The next prime is 23157255299. The reversal of 23157255296 is 69255275132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 23157255296.

It is not an unprimeable number, because it can be changed into a prime (23157255299) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 916691 + ... + 941613.

It is an arithmetic number, because the mean of its divisors is an integer number (443304495).

Almost surely, 223157255296 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 23157255296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28371487680).

23157255296 is an abundant number, since it is smaller than the sum of its proper divisors (33585720064).

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

23157255296 is a wasteful number, since it uses less digits than its factorization.

23157255296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25022 (or 25010 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 47.

The spelling of 23157255296 in words is "twenty-three billion, one hundred fifty-seven million, two hundred fifty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 61 64 68 112 119 122 128 136 224 238 244 272 427 448 476 488 544 854 896 952 976 1037 1088 1708 1904 1952 2074 2176 3416 3808 3904 4148 6832 7259 7616 7808 8296 13664 14518 15232 16592 24923 27328 29036 33184 49846 54656 58072 66368 99692 116144 132736 174461 199384 232288 348922 398768 423691 464576 697844 797536 847382 929152 1395688 1520303 1595072 1694764 2791376 2965837 3040606 3190144 3389528 5582752 5931674 6081212 6779056 10642121 11165504 11863348 12162424 13558112 21284242 22331008 23726696 24324848 25845151 27116224 42568484 47453392 48649696 51690302 54232448 85136968 94906784 97299392 103380604 170273936 180916057 189813568 194598784 206761208 340547872 361832114 379627136 413522416 681095744 723664228 827044832 1362191488 1447328456 1654089664 2894656912 3308179328 5789313824 11578627648 23157255296