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23112765366048 = 25322832892
BaseRepresentation
bin1010100000101010111000…
…01010110101111100100000
310000211120002100122220112200
411100111130022311330200
511012134420413203143
6121053505142453200
74603561605046101
oct520253412657440
9100746070586480
1023112765366048
117401083556306
1227134aa434200
13cb86a82027b7
1459c9417043a8
152a133936a1d3
hex15055c2b5f20

23112765366048 has 54 divisors (see below), whose sum is σ = 65727158524209. Its totient is φ = 7704227926272.

The previous prime is 23112765366011. The next prime is 23112765366101. The reversal of 23112765366048 is 84066356721132.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

23112765366048 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 2 + 7 + 6 + 536 + 60 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19996029342864 + 3116736023184 = 4471692^2 + 1765428^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3399468.

It is a super-2 number, since 2×231127653660482 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23112765365985 and 23112765366003.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 81445588 + ... + 81728876.

Almost surely, 223112765366048 is an apocalyptic number.

It is an amenable number.

23112765366048 is an abundant number, since it is smaller than the sum of its proper divisors (42614393158161).

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

23112765366048 is an frugal number, since it uses more digits than its factorization.

23112765366048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566594 (or 283294 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 23112765366048 in words is "twenty-three trillion, one hundred twelve billion, seven hundred sixty-five million, three hundred sixty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 283289 566578 849867 1133156 1699734 2266312 2549601 3399468 4532624 5099202 6798936 9065248 10198404 13597872 20396808 27195744 40793616 81587232 80252657521 160505315042 240757972563 321010630084 481515945126 642021260168 722273917689 963031890252 1284042520336 1444547835378 1926063780504 2568085040672 2889095670756 3852127561008 5778191341512 7704255122016 11556382683024 23112765366048