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23143893768 = 233219127133213
BaseRepresentation
bin10101100011011110…
…111100101100001000
32012201221022121201200
4111203132330230020
5334344314100033
614344313544200
71446345564642
oct254336745410
965657277650
1023143893768
1198a7140a36
12459aa15060
13224ab308c8
141197a67892
15906c85013
hex5637bcb08

23143893768 has 96 divisors (see below), whose sum is σ = 66500428800. Its totient is φ = 7250995584.

The previous prime is 23143893767. The next prime is 23143893769. The reversal of 23143893768 is 86739834132.

23143893768 is a `hidden beast` number, since 231 + 4 + 38 + 9 + 376 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (23143893767) and next prime (23143893769).

It is not an unprimeable number, because it can be changed into a prime (23143893767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107130 + ... + 240342.

It is an arithmetic number, because the mean of its divisors is an integer number (692712800).

Almost surely, 223143893768 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 23143893768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33250214400).

23143893768 is an abundant number, since it is smaller than the sum of its proper divisors (43356535032).

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

23143893768 is a wasteful number, since it uses less digits than its factorization.

23143893768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133371 (or 133364 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 23143893768 in words is "twenty-three billion, one hundred forty-three million, eight hundred ninety-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 127 152 171 228 254 342 381 456 508 684 762 1016 1143 1368 1524 2286 2413 3048 4572 4826 7239 9144 9652 14478 19304 21717 28956 43434 57912 86868 133213 173736 266426 399639 532852 799278 1065704 1198917 1598556 2397834 2531047 3197112 4795668 5062094 7593141 9591336 10124188 15186282 16918051 20248376 22779423 30372564 33836102 45558846 50754153 60745128 67672204 91117692 101508306 135344408 152262459 182235384 203016612 304524918 321442969 406033224 609049836 642885938 964328907 1218099672 1285771876 1928657814 2571543752 2892986721 3857315628 5785973442 7714631256 11571946884 23143893768