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9076664151 = 3229137313811
BaseRepresentation
bin10000111010000001…
…01110011101010111
3212102120100022110100
420131000232131113
5122042111223101
64100400225143
7440633241462
oct103500563527
925376308410
109076664151
1139385a4135
12191390b1b3
13b186131b9
146216902d9
15381cc1e86
hex21d02e757

9076664151 has 48 divisors (see below), whose sum is σ = 13722377760. Its totient is φ = 5774146560.

The previous prime is 9076664147. The next prime is 9076664167. The reversal of 9076664151 is 1514666709.

9076664151 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9076664151 - 22 = 9076664147 is a prime.

It is a super-2 number, since 2×90766641512 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) 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 = 9076664097 and 9076664106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9076664101) 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 47 ways as a sum of consecutive naturals, for example, 11191536 + ... + 11192346.

It is an arithmetic number, because the mean of its divisors is an integer number (285882870).

Almost surely, 29076664151 is an apocalyptic number.

9076664151 is a deficient number, since it is larger than the sum of its proper divisors (4645713609).

9076664151 is a wasteful number, since it uses less digits than its factorization.

9076664151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 9076664151 is about 95271.5285434216. The cubic root of 9076664151 is about 2085.9733488253.

The spelling of 9076664151 in words is "nine billion, seventy-six million, six hundred sixty-four thousand, one hundred fifty-one".

Divisors: 1 3 9 29 87 137 261 313 411 811 939 1233 2433 2817 3973 7299 9077 11919 23519 27231 35757 42881 70557 81693 111107 128643 211671 253843 333321 385929 761529 999963 1243549 2284587 3222103 3730647 7361447 9666309 11191941 22084341 28998927 34776491 66253023 104329473 312988419 1008518239 3025554717 9076664151