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34918363136 = 21261313907
BaseRepresentation
bin100000100001010010…
…111111000000000000
310100010112001122012202
4200201102333000000
51033003100110021
624012525412332
72344211121656
oct404122770000
9110115048182
1034918363136
1113899562058
12692610a0a8
1333a633c547
141993738dd6
15d95806a0b
hex8214bf000

34918363136 has 52 divisors (see below), whose sum is σ = 69947142792. Its totient is φ = 17429446656.

The previous prime is 34918363127. The next prime is 34918363147. The reversal of 34918363136 is 63136381943.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2503895 + ... + 2517801.

Almost surely, 234918363136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34918363136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34973571396).

34918363136 is an abundant number, since it is smaller than the sum of its proper divisors (35028779656).

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

34918363136 is an equidigital number, since it uses as much as digits as its factorization.

34918363136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14544 (or 14522 counting only the distinct ones).

The product of its digits is 839808, while the sum is 47.

The spelling of 34918363136 in words is "thirty-four billion, nine hundred eighteen million, three hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 613 1024 1226 2048 2452 4096 4904 9808 13907 19616 27814 39232 55628 78464 111256 156928 222512 313856 445024 627712 890048 1255424 1780096 2510848 3560192 7120384 8524991 14240768 17049982 28481536 34099964 56963072 68199928 136399856 272799712 545599424 1091198848 2182397696 4364795392 8729590784 17459181568 34918363136