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23459630064 = 24313142926309
BaseRepresentation
bin10101110110010011…
…011000101111110000
32020112221102200111120
4111312103120233300
5341021131130224
614435513142240
71460231364633
oct256623305760
966487380446
1023459630064
119a49393322
1246686ba980
13229b37b210
1411c7975c1a
15924851779
hex5764d8bf0

23459630064 has 80 divisors (see below), whose sum is σ = 65314048800. Its totient is φ = 7213022208.

The previous prime is 23459630057. The next prime is 23459630083. The reversal of 23459630064 is 46003695432.

It is a super-3 number, since 3×234596300643 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23459629998 and 23459630025.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 878542 + ... + 904850.

It is an arithmetic number, because the mean of its divisors is an integer number (816425610).

Almost surely, 223459630064 is an apocalyptic number.

23459630064 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 23459630064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32657024400).

23459630064 is an abundant number, since it is smaller than the sum of its proper divisors (41854418736).

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

23459630064 is a wasteful number, since it uses less digits than its factorization.

23459630064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27762 (or 27756 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 23459630064 in words is "twenty-three billion, four hundred fifty-nine million, six hundred thirty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1429 2858 4287 5716 8574 11432 17148 18577 22864 26309 34296 37154 52618 55731 68592 74308 78927 105236 111462 148616 157854 210472 222924 297232 315708 342017 420944 445848 631416 684034 891696 1026051 1262832 1368068 2052102 2736136 4104204 5472272 8208408 16416816 37595561 75191122 112786683 150382244 225573366 300764488 451146732 488742293 601528976 902293464 977484586 1466226879 1804586928 1954969172 2932453758 3909938344 5864907516 7819876688 11729815032 23459630064