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230847592625568 = 2534276581322009
BaseRepresentation
bin110100011111010001100100…
…110000010111010110100000
31010021100210222122101102210000
4310133101210300113112200
5220224201332203004233
62134545530420140000
766424121355322332
oct6437214460272640
91107323878342700
10230847592625568
1167611a069420a6
1221a83987837600
139ba6ab07490a9
144101124047452
151ba4d204bdd13
hexd1f464c175a0

230847592625568 has 120 divisors (see below), whose sum is σ = 678920920537860. Its totient is φ = 76948680360960.

The previous prime is 230847592625563. The next prime is 230847592625669. The reversal of 230847592625568 is 865526295748032.

230847592625568 is a `hidden beast` number, since 2 + 3 + 0 + 8 + 4 + 7 + 5 + 9 + 2 + 62 + 556 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 223867787932944 + 6979804692624 = 14962212^2 + 2641932^2 .

It is a super-2 number, since 2×2308475926255682 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 230847592625496 and 230847592625505.

It is not an unprimeable number, because it can be changed into a prime (230847592625561) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 716736948 + ... + 717058956.

Almost surely, 2230847592625568 is an apocalyptic number.

It is an amenable number.

230847592625568 is an abundant number, since it is smaller than the sum of its proper divisors (448073327912292).

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

230847592625568 is a wasteful number, since it uses less digits than its factorization.

230847592625568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598612 (or 598595 counting only the distinct ones).

The product of its (nonzero) digits is 1741824000, while the sum is 72.

The spelling of 230847592625568 in words is "two hundred thirty trillion, eight hundred forty-seven billion, five hundred ninety-two million, six hundred twenty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 276581 322009 553162 644018 829743 966027 1106324 1288036 1659486 1932054 2212648 2489229 2576072 2898081 3318972 3864108 4425296 4978458 5152144 5796162 6637944 7467687 7728216 8694243 8850592 9956916 10304288 11592324 13275888 14935374 15456432 17388486 19913832 22403061 23184648 26082729 26551776 29870748 30912864 34776972 39827664 44806122 46369296 52165458 59741496 69553944 79655328 89612244 92738592 104330916 119482992 139107888 179224488 208661832 238965984 278215776 358448976 417323664 716897952 834647328 89061571229 178123142458 267184713687 356246284916 534369427374 712492569832 801554141061 1068738854748 1424985139664 1603108282122 2137477709496 2404662423183 2849970279328 3206216564244 4274955418992 4809324846366 6412433128488 7213987269549 8549910837984 9618649692732 12824866256976 14427974539098 19237299385464 25649732513952 28855949078196 38474598770928 57711898156392 76949197541856 115423796312784 230847592625568