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233011054755755 = 52949122469145661
BaseRepresentation
bin110100111110110000011101…
…001001011011111110101011
31010120000122021001001212111222
4310332300131021123332223
5221020123120004141010
62143323444550012255
7100036331104106543
oct6476603511337653
91116018231055458
10233011054755755
1168276484907761
122217312a94708b
13a002b045b7603
144177b1c14c323
151be1243d65355
hexd3ec1d25bfab

233011054755755 has 32 divisors (see below), whose sum is σ = 289859106398400. Its totient is φ = 179605165734400.

The previous prime is 233011054755727. The next prime is 233011054755763. The reversal of 233011054755755 is 557557450110332.

It is a happy number.

It is not a de Polignac number, because 233011054755755 - 234 = 232993874886571 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233011054755697 and 233011054755706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1599607625 + ... + 1599753285.

It is an arithmetic number, because the mean of its divisors is an integer number (9058097074950).

Almost surely, 2233011054755755 is an apocalyptic number.

233011054755755 is a deficient number, since it is larger than the sum of its proper divisors (56848051642645).

233011054755755 is a wasteful number, since it uses less digits than its factorization.

233011054755755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168655.

The product of its (nonzero) digits is 11025000, while the sum is 53.

The spelling of 233011054755755 in words is "two hundred thirty-three trillion, eleven billion, fifty-four million, seven hundred fifty-five thousand, seven hundred fifty-five".

Divisors: 1 5 29 145 491 2455 14239 22469 71195 112345 145661 651601 728305 3258005 4224169 11032279 21120845 55161395 71519551 319936091 357597755 1599680455 2074066979 3272857009 10370334895 16364285045 94912853261 474564266305 1606972791419 8034863957095 46602210951151 233011054755755