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426384667125 = 3253379008593
BaseRepresentation
bin1100011010001101000…
…00011011000111110101
31111202120110222100000100
412031012200123013311
523441213433322000
6523513423104313
742543131604534
oct6150640330765
91452513870010
10426384667125
1115491303531a
126a777442099
13312919b5301
14168cc3ca31b
15b157e32a00
hex634681b1f5

426384667125 has 24 divisors (see below), whose sum is σ = 768629428632. Its totient is φ = 227405155200.

The previous prime is 426384667103. The next prime is 426384667127. The reversal of 426384667125 is 521766483624.

426384667125 is a `hidden beast` number, since 4 + 26 + 38 + 466 + 7 + 125 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14397840081 + 411986827044 = 119991^2 + 641862^2 .

It is not a de Polignac number, because 426384667125 - 227 = 426250449397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426384667127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189503172 + ... + 189505421.

It is an arithmetic number, because the mean of its divisors is an integer number (32026226193).

Almost surely, 2426384667125 is an apocalyptic number.

426384667125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

426384667125 is a deficient number, since it is larger than the sum of its proper divisors (342244761507).

426384667125 is a wasteful number, since it uses less digits than its factorization.

426384667125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379008614 (or 379008601 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 426384667125 in words is "four hundred twenty-six billion, three hundred eighty-four million, six hundred sixty-seven thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 379008593 1137025779 1895042965 3411077337 5685128895 9475214825 17055386685 28425644475 47376074125 85276933425 142128222375 426384667125