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23873968512 = 2736255851
BaseRepresentation
bin10110001110111111…
…111101100110000000
32021121211002021000000
4112032333331212000
5342343213443022
614544554000000
71503422245512
oct261677754600
967554067000
1023873968512
11a141261999
124763416000
13233616ccb4
1412269cdbb2
1594ade86ac
hex58effd980

23873968512 has 112 divisors (see below), whose sum is σ = 71309790180. Its totient is φ = 7957958400.

The previous prime is 23873968511. The next prime is 23873968523. The reversal of 23873968512 is 21586937832.

23873968512 is a `hidden beast` number, since 2 + 38 + 7 + 3 + 96 + 8 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23873968511) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 34614 + ... + 221237.

Almost surely, 223873968512 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 23873968512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35654895090).

23873968512 is an abundant number, since it is smaller than the sum of its proper divisors (47435821668).

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

23873968512 is an frugal number, since it uses more digits than its factorization.

23873968512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255883 (or 255856 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 23873968512 in words is "twenty-three billion, eight hundred seventy-three million, nine hundred sixty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1296 1458 1728 1944 2592 2916 3456 3888 5184 5832 7776 10368 11664 15552 23328 31104 46656 93312 255851 511702 767553 1023404 1535106 2046808 2302659 3070212 4093616 4605318 6140424 6907977 8187232 9210636 12280848 13815954 16374464 18421272 20723931 24561696 27631908 32748928 36842544 41447862 49123392 55263816 62171793 73685088 82895724 98246784 110527632 124343586 147370176 165791448 186515379 221055264 248687172 294740352 331582896 373030758 442110528 497374344 663165792 746061516 884221056 994748688 1326331584 1492123032 1989497376 2652663168 2984246064 3978994752 5968492128 7957989504 11936984256 23873968512