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23792839320 = 233510313714051
BaseRepresentation
bin10110001010001010…
…011110101010011000
32021102011102110200010
4112022022132222120
5342211431324240
614532535041520
71501415540325
oct261212365230
967364373603
1023792839320
11a0aa48a378
1247402102a0
132322405963
141219d11b4c
15943c20280
hex58a29ea98

23792839320 has 128 divisors (see below), whose sum is σ = 72602749440. Its totient is φ = 6236851200.

The previous prime is 23792839303. The next prime is 23792839333. The reversal of 23792839320 is 2393829732.

It is a self number, because there is not a number n which added to its sum of digits gives 23792839320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1686295 + ... + 1700345.

It is an arithmetic number, because the mean of its divisors is an integer number (567208980).

Almost surely, 223792839320 is an apocalyptic number.

23792839320 is a gapful number since it is divisible by the number (20) 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 23792839320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36301374720).

23792839320 is an abundant number, since it is smaller than the sum of its proper divisors (48809910120).

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

23792839320 is a wasteful number, since it uses less digits than its factorization.

23792839320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14305 (or 14301 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 23792839320 in words is "twenty-three billion, seven hundred ninety-two million, eight hundred thirty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 137 206 274 309 411 412 515 548 618 685 822 824 1030 1096 1236 1370 1545 1644 2055 2060 2472 2740 3090 3288 4110 4120 5480 6180 8220 12360 14051 14111 16440 28102 28222 42153 42333 56204 56444 70255 70555 84306 84666 112408 112888 140510 141110 168612 169332 210765 211665 281020 282220 337224 338664 421530 423330 562040 564440 843060 846660 1447253 1686120 1693320 1924987 2894506 3849974 4341759 5774961 5789012 7236265 7699948 8683518 9624935 11549922 11578024 14472530 15399896 17367036 19249870 21708795 23099844 28874805 28945060 34734072 38499740 43417590 46199688 57749610 57890120 76999480 86835180 115499220 173670360 198273661 230998440 396547322 594820983 793094644 991368305 1189641966 1586189288 1982736610 2379283932 2974104915 3965473220 4758567864 5948209830 7930946440 11896419660 23792839320