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426225853305 = 33572437185077
BaseRepresentation
bin1100011001111010000…
…10100110001101111001
31111202011102010202102000
412030331002212031321
523440402304301210
6523445551131213
742536162655510
oct6147502461571
91452142122360
10426225853305
1115484142312a
126a732213b09
1331267b1b735
14168b5289677
15b149011ac0
hex633d0a6379

426225853305 has 64 divisors (see below), whose sum is σ = 866342714880. Its totient is φ = 194765098752.

The previous prime is 426225853303. The next prime is 426225853381. The reversal of 426225853305 is 503358522624.

426225853305 is a `hidden beast` number, since 4 + 2 + 62 + 2 + 58 + 533 + 0 + 5 = 666.

426225853305 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 426225853305 - 21 = 426225853303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (426225853303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2210427 + ... + 2395503.

It is an arithmetic number, because the mean of its divisors is an integer number (13536604920).

Almost surely, 2426225853305 is an apocalyptic number.

426225853305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

426225853305 is an abundant number, since it is smaller than the sum of its proper divisors (440116861575).

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

426225853305 is a wasteful number, since it uses less digits than its factorization.

426225853305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187535 (or 187529 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 426225853305 in words is "four hundred twenty-six billion, two hundred twenty-five million, eight hundred fifty-three thousand, three hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 2437 7311 12185 17059 21933 36555 51177 65799 85295 109665 153531 185077 255885 328995 460593 555231 767655 925385 1295539 1665693 2302965 2776155 3886617 4997079 6477695 8328465 11659851 19433085 24985395 34979553 58299255 174897765 451032649 1353097947 2255163245 3157228543 4059293841 6765489735 9471685629 12177881523 15786142715 20296469205 28415056887 47358428145 60889407615 85245170661 142075284435 426225853305