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2304378493056 = 27327327401761
BaseRepresentation
bin100001100010000111101…
…010010101100010000000
322011022000002200101000200
4201202013222111202000
5300223331343234211
64522341124245200
7325325435002323
oct41420752254200
98138002611020
102304378493056
11809310647792
1231272b840800
131393c0535973
147d76530c7ba
153ee1ec77b56
hex21887a95880

2304378493056 has 96 divisors (see below), whose sum is σ = 6721926236220. Its totient is φ = 757603860480.

The previous prime is 2304378493019. The next prime is 2304378493057. The reversal of 2304378493056 is 6503948734032.

2304378493056 is a `hidden beast` number, since 2 + 30 + 4 + 3 + 78 + 493 + 0 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2154906561600 + 149471931456 = 1467960^2 + 386616^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2304378492993 and 2304378493011.

It is not an unprimeable number, because it can be changed into a prime (2304378493057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13616785 + ... + 13784976.

Almost surely, 22304378493056 is an apocalyptic number.

It is an amenable number.

2304378493056 is an abundant number, since it is smaller than the sum of its proper divisors (4417547743164).

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

2304378493056 is a wasteful number, since it uses less digits than its factorization.

2304378493056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27401854 (or 27401839 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 2304378493056 in words is "two trillion, three hundred four billion, three hundred seventy-eight million, four hundred ninety-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 288 292 384 438 576 584 657 876 1152 1168 1314 1752 2336 2628 3504 4672 5256 7008 9344 10512 14016 21024 28032 42048 84096 27401761 54803522 82205283 109607044 164410566 219214088 246615849 328821132 438428176 493231698 657642264 876856352 986463396 1315284528 1753712704 1972926792 2000328553 2630569056 3507425408 3945853584 4000657106 5261138112 6000985659 7891707168 8001314212 10522276224 12001971318 15783414336 16002628424 18002956977 24003942636 31566828672 32005256848 36005913954 48007885272 64010513696 72011827908 96015770544 128021027392 144023655816 192031541088 256042054784 288047311632 384063082176 576094623264 768126164352 1152189246528 2304378493056