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23628308748 = 223113128120549
BaseRepresentation
bin10110000000010110…
…110110000100001100
32020222200211110011020
4112000112312010030
5341342321334443
614504340354140
71464350211342
oct260026660414
966880743136
1023628308748
11a0256230a0
1246b50a5950
1322c72b9ca5
141202123992
15934570583
hex5805b610c

23628308748 has 96 divisors (see below), whose sum is σ = 62308915200. Its totient is φ = 6904128000.

The previous prime is 23628308747. The next prime is 23628308749. The reversal of 23628308748 is 84780382632.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23628308747) and next prime (23628308749).

It is a self number, because there is not a number n which added to its sum of digits gives 23628308748.

It is not an unprimeable number, because it can be changed into a prime (23628308747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1139578 + ... + 1160126.

It is an arithmetic number, because the mean of its divisors is an integer number (649051200).

Almost surely, 223628308748 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 23628308748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31154457600).

23628308748 is an abundant number, since it is smaller than the sum of its proper divisors (38680606452).

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

23628308748 is a wasteful number, since it uses less digits than its factorization.

23628308748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20879 (or 20877 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 23628308748 in words is "twenty-three billion, six hundred twenty-eight million, three hundred eight thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 281 341 372 562 682 843 1023 1124 1364 1686 2046 3091 3372 4092 6182 8711 9273 12364 17422 18546 20549 26133 34844 37092 41098 52266 61647 82196 95821 104532 123294 191642 226039 246588 287463 383284 452078 574926 637019 678117 904156 1149852 1274038 1356234 1911057 2548076 2712468 3822114 5774269 7007209 7644228 11548538 14014418 17322807 21021627 23097076 28028836 34645614 42043254 63516959 69291228 84086508 127033918 179002339 190550877 254067836 358004678 381101754 537007017 716009356 762203508 1074014034 1969025729 2148028068 3938051458 5907077187 7876102916 11814154374 23628308748