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34205351426 = 2192611375669
BaseRepresentation
bin11111110110110011…
…000011111000000010
310021021211101220000122
4133312303003320002
51030023032221201
623414055220242
72320432455431
oct376663037002
9107254356018
1034205351426
1113563035884
126767377682
1332c16c581c
141926b75118
15d52e13e1b
hex7f6cc3e02

34205351426 has 48 divisors (see below), whose sum is σ = 55449810360. Its totient is φ = 15817800960.

The previous prime is 34205351377. The next prime is 34205351431. The reversal of 34205351426 is 62415350243.

It can be written as a sum of positive squares in 4 ways, for example, as 17043041401 + 17162310025 = 130549^2 + 131005^2 .

It is a Curzon number.

It is an unprimeable number.

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, 6030920 + ... + 6036588.

Almost surely, 234205351426 is an apocalyptic number.

34205351426 is a deficient number, since it is larger than the sum of its proper divisors (21244458934).

34205351426 is a wasteful number, since it uses less digits than its factorization.

34205351426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5907 (or 5888 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 34205351426 in words is "thirty-four billion, two hundred five million, three hundred fifty-one thousand, four hundred twenty-six".

Divisors: 1 2 19 38 61 122 137 274 361 722 1159 2318 2603 5206 5669 8357 11338 16714 22021 44042 49457 98914 107711 158783 215422 317566 345809 691618 776653 1553306 2046509 3016877 4093018 6033754 6570371 13140742 14756407 29512814 47375833 94751666 124837049 249674098 280371733 560743466 900140827 1800281654 17102675713 34205351426