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34491511980 = 22325191619511
BaseRepresentation
bin100000000111110110…
…101011010010101100
310022000202212100111200
4200013312223102230
51031114311340410
623502320445500
72330506004652
oct400766532254
9108022770450
1034491511980
111369a617502
126827179890
133338a892b3
141952b84dd2
15d6d0dc3c0
hex807dab4ac

34491511980 has 36 divisors (see below), whose sum is σ = 104624253552. Its totient is φ = 9197736480.

The previous prime is 34491511883. The next prime is 34491511981. The reversal of 34491511980 is 8911519443.

34491511980 is a `hidden beast` number, since 3 + 4 + 49 + 1 + 511 + 98 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (34491511981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95809576 + ... + 95809935.

Almost surely, 234491511980 is an apocalyptic number.

34491511980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34491511980 is an abundant number, since it is smaller than the sum of its proper divisors (70132741572).

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

34491511980 is a wasteful number, since it uses less digits than its factorization.

34491511980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191619526 (or 191619521 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 34491511980 in words is "thirty-four billion, four hundred ninety-one million, five hundred eleven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 191619511 383239022 574858533 766478044 958097555 1149717066 1724575599 1916195110 2299434132 2874292665 3449151198 3832390220 5748585330 6898302396 8622877995 11497170660 17245755990 34491511980