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23046088824 = 233211216316229
BaseRepresentation
bin10101011101101001…
…110110100001111000
32012111010021121120100
4111131221312201320
5334144244320244
614330501355400
71444050344223
oct253551664170
965433247510
1023046088824
119856a09700
124572108b60
1322337a8265
141188a885ba
158ed3b5b69
hex55da76878

23046088824 has 144 divisors (see below), whose sum is σ = 69031708200. Its totient is φ = 6940391040.

The previous prime is 23046088801. The next prime is 23046088829. The reversal of 23046088824 is 42888064032.

23046088824 is a `hidden beast` number, since 2 + 30 + 4 + 608 + 8 + 8 + 2 + 4 = 666.

It is a super-2 number, since 2×230460888242 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23046088824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23046088829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1411942 + ... + 1428170.

Almost surely, 223046088824 is an apocalyptic number.

23046088824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23046088824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34515854100).

23046088824 is an abundant number, since it is smaller than the sum of its proper divisors (45985619376).

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

23046088824 is a wasteful number, since it uses less digits than its factorization.

23046088824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16426 (or 16408 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 23046088824 in words is "twenty-three billion, forty-six million, eighty-eight thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 163 198 242 264 326 363 396 484 489 652 726 792 968 978 1089 1304 1452 1467 1793 1956 2178 2904 2934 3586 3912 4356 5379 5868 7172 8712 10758 11736 14344 16137 16229 19723 21516 32274 32458 39446 43032 48687 59169 64548 64916 78892 97374 118338 129096 129832 146061 157784 177507 178519 194748 236676 292122 355014 357038 389496 473352 535557 584244 710028 714076 1071114 1168488 1420056 1428152 1606671 1963709 2142228 2645327 3213342 3927418 4284456 5290654 5891127 6426684 7854836 7935981 10581308 11782254 12853368 15709672 15871962 17673381 21162616 23564508 23807943 29098597 31743924 35346762 47129016 47615886 58197194 63487848 70693524 87295791 95231772 116394388 141387048 174591582 190463544 232788776 261887373 320084567 349183164 523774746 640169134 698366328 960253701 1047549492 1280338268 1920507402 2095098984 2560676536 2880761103 3841014804 5761522206 7682029608 11523044412 23046088824