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23065820568 = 23327231210901
BaseRepresentation
bin10101011110110101…
…000111110110011000
32012112111102002102200
4111132311013312120
5334214322224233
614332444330200
71444410145200
oct253665076630
965474362380
1023065820568
11986706642a
124578843960
1322378c654b
14118b543400
158eeeb2313
hex55ed47d98

23065820568 has 144 divisors (see below), whose sum is σ = 75013623360. Its totient is φ = 6377616000.

The previous prime is 23065820501. The next prime is 23065820573. The reversal of 23065820568 is 86502856032.

23065820568 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 5 + 82 + 0 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3918 + ... + 214818.

It is an arithmetic number, because the mean of its divisors is an integer number (520927940).

Almost surely, 223065820568 is an apocalyptic number.

23065820568 is a gapful number since it is divisible by the number (28) 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 23065820568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37506811680).

23065820568 is an abundant number, since it is smaller than the sum of its proper divisors (51947802792).

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

23065820568 is a wasteful number, since it uses less digits than its factorization.

23065820568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210958 (or 210944 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 23065820568 in words is "twenty-three billion, sixty-five million, eight hundred twenty thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 49 56 62 63 72 84 93 98 124 126 147 168 186 196 217 248 252 279 294 372 392 434 441 504 558 588 651 744 868 882 1116 1176 1302 1519 1736 1764 1953 2232 2604 3038 3528 3906 4557 5208 6076 7812 9114 12152 13671 15624 18228 27342 36456 54684 109368 210901 421802 632703 843604 1265406 1476307 1687208 1898109 2530812 2952614 3796218 4428921 5061624 5905228 6537931 7592436 8857842 10334149 11810456 13075862 13286763 15184872 17715684 19613793 20668298 26151724 26573526 31002447 35431368 39227586 41336596 45765517 52303448 53147052 58841379 62004894 78455172 82673192 91531034 93007341 106294104 117682758 124009788 137296551 156910344 183062068 186014682 235365516 248019576 274593102 320358619 366124136 372029364 411889653 470731032 549186204 640717238 744058728 823779306 961075857 1098372408 1281434476 1647558612 1922151714 2562868952 2883227571 3295117224 3844303428 5766455142 7688606856 11532910284 23065820568