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23933834272 = 2519591933457
BaseRepresentation
bin10110010010100100…
…010101010000100000
32021202222201202101101
4112102210111100200
5343004030144042
614554533044144
71505050143325
oct262244252040
967688652341
1023933834272
11a172030a27
12477b486654
1323456a0b1a
141230934b4c
159512c16b7
hex592915420

23933834272 has 96 divisors (see below), whose sum is σ = 50716411200. Its totient is φ = 11083972608.

The previous prime is 23933834263. The next prime is 23933834273. The reversal of 23933834272 is 27243833932.

It is not an unprimeable number, because it can be changed into a prime (23933834273) 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, 6921568 + ... + 6925024.

It is an arithmetic number, because the mean of its divisors is an integer number (528295950).

Almost surely, 223933834272 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 23933834272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25358205600).

23933834272 is an abundant number, since it is smaller than the sum of its proper divisors (26782576928).

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

23933834272 is a wasteful number, since it uses less digits than its factorization.

23933834272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3738 (or 3730 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 46.

The spelling of 23933834272 in words is "twenty-three billion, nine hundred thirty-three million, eight hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 59 76 118 152 193 236 304 386 472 608 772 944 1121 1544 1888 2242 3088 3457 3667 4484 6176 6914 7334 8968 11387 13828 14668 17936 22774 27656 29336 35872 45548 55312 58672 65683 91096 110624 117344 131366 182192 203963 216353 262732 364384 407926 432706 525464 667201 815852 865412 1050928 1334402 1631704 1730824 2101856 2668804 3263408 3461648 3875297 5337608 6526816 6923296 7750594 10675216 12676819 15501188 21350432 25353638 31002376 39364859 50707276 62004752 78729718 101414552 124009504 157459436 202829104 314918872 405658208 629837744 747932321 1259675488 1495864642 2991729284 5983458568 11966917136 23933834272