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426437963145 = 3357144490137
BaseRepresentation
bin1100011010010011010…
…11101110110110001001
31111202201012021001102000
412031021223232312021
523441321104310040
6523523005301213
742544346610525
oct6151153566611
91452635231360
10426437963145
11154940127417
126a791264809
133129ca55a0c
14168d5500d85
15b15c95e130
hex6349aeed89

426437963145 has 32 divisors (see below), whose sum is σ = 768789584640. Its totient is φ = 224230285440.

The previous prime is 426437963131. The next prime is 426437963227. The reversal of 426437963145 is 541369734624.

426437963145 is a `hidden beast` number, since 4 + 2 + 6 + 437 + 9 + 63 + 145 = 666.

It is not a de Polignac number, because 426437963145 - 210 = 426437962121 is a prime.

It is a super-2 number, since 2×4264379631452 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 426437963091 and 426437963100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22235484 + ... + 22254653.

It is an arithmetic number, because the mean of its divisors is an integer number (24024674520).

Almost surely, 2426437963145 is an apocalyptic number.

426437963145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

426437963145 is a deficient number, since it is larger than the sum of its proper divisors (342351621495).

426437963145 is a wasteful number, since it uses less digits than its factorization.

426437963145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44490222 (or 44490216 counting only the distinct ones).

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

The spelling of 426437963145 in words is "four hundred twenty-six billion, four hundred thirty-seven million, nine hundred sixty-three thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 45 71 135 213 355 639 1065 1917 3195 9585 44490137 133470411 222450685 400411233 667352055 1201233699 2002056165 3158799727 6006168495 9476399181 15793998635 28429197543 47381995905 85287592629 142145987715 426437963145