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23628370896 = 2433134207331
BaseRepresentation
bin10110000000010111…
…000101001111010000
32020222200221121102000
4112000113011033100
5341342330332041
614504341554000
71464350560464
oct260027051720
966880847360
1023628370896
11a025665859
1246b5115900
1322c730c370
14120213c4a4
15934583bb6
hex5805c53d0

23628370896 has 80 divisors (see below), whose sum is σ = 73039283520. Its totient is φ = 7270266240.

The previous prime is 23628370867. The next prime is 23628370897. The reversal of 23628370896 is 69807382632.

It is a happy number.

23628370896 is a `hidden beast` number, since 2 + 3 + 628 + 3 + 7 + 0 + 8 + 9 + 6 = 666.

It is a super-2 number, since 2×236283708962 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23628370897) 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, 2098050 + ... + 2109281.

It is an arithmetic number, because the mean of its divisors is an integer number (912991044).

Almost surely, 223628370896 is an apocalyptic number.

23628370896 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

23628370896 is an abundant number, since it is smaller than the sum of its proper divisors (49410912624).

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

23628370896 is a wasteful number, since it uses less digits than its factorization.

23628370896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4207361 (or 4207349 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 23628370896 in words is "twenty-three billion, six hundred twenty-eight million, three hundred seventy thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 4207331 8414662 12621993 16829324 25243986 33658648 37865979 50487972 54695303 67317296 75731958 100975944 109390606 113597937 151463916 164085909 201951888 218781212 227195874 302927832 328171818 437562424 454391748 492257727 605855664 656343636 875124848 908783496 984515454 1312687272 1476773181 1817566992 1969030908 2625374544 2953546362 3938061816 5907092724 7876123632 11814185448 23628370896