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10023865888 = 252359359643
BaseRepresentation
bin10010101010111100…
…00000111000100000
3221212120200010222011
421111132000320200
5131012102202023
64334354122304
7503254311541
oct112536007040
927776603864
1010023865888
114284235893
121b38b80394
13c399253ba
146b13b64c8
153da02450d
hex255780e20

10023865888 has 96 divisors (see below), whose sum is σ = 21032524800. Its totient is φ = 4692331776.

The previous prime is 10023865879. The next prime is 10023865889. The reversal of 10023865888 is 88856832001.

It is a happy number.

It is a super-2 number, since 2×100238658882 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10023865889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15588895 + ... + 15589537.

It is an arithmetic number, because the mean of its divisors is an integer number (219088800).

Almost surely, 210023865888 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 10023865888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10516262400).

10023865888 is an abundant number, since it is smaller than the sum of its proper divisors (11008658912).

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

10023865888 is a wasteful number, since it uses less digits than its factorization.

10023865888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 49.

The spelling of 10023865888 in words is "ten billion, twenty-three million, eight hundred sixty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 23 32 46 59 92 118 184 236 359 368 472 643 718 736 944 1286 1357 1436 1888 2572 2714 2872 5144 5428 5744 8257 10288 10856 11488 14789 16514 20576 21181 21712 29578 33028 37937 42362 43424 59156 66056 75874 84724 118312 132112 151748 169448 230837 236624 264224 303496 338896 461674 473248 487163 606992 677792 872551 923348 974326 1213984 1745102 1846696 1948652 3490204 3693392 3897304 5309251 6980408 7386784 7794608 10618502 13619383 13960816 15589216 21237004 27238766 27921632 42474008 54477532 84948016 108955064 169896032 217910128 313245809 435820256 626491618 1252983236 2505966472 5011932944 10023865888