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9090616580 = 2253745726881
BaseRepresentation
bin10000111011101011…
…11100110100000100
3212110112121011120222
420131311330310010
5122104144212310
64102015243512
7441162652223
oct103565746404
925415534528
109090616580
113945463871
121918519598
13b1b489a86
14623482cba
1538312b055
hex21dd7cd04

9090616580 has 48 divisors (see below), whose sum is σ = 19649881776. Its totient is φ = 3530096640.

The previous prime is 9090616559. The next prime is 9090616589. The reversal of 9090616580 is 856160909.

9090616580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2145727684 + 6944888896 = 46322^2 + 83336^2 .

It is not an unprimeable number, because it can be changed into a prime (9090616589) 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 15 ways as a sum of consecutive naturals, for example, 324740 + ... + 351620.

It is an arithmetic number, because the mean of its divisors is an integer number (409372537).

Almost surely, 29090616580 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 9090616580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9824940888).

9090616580 is an abundant number, since it is smaller than the sum of its proper divisors (10559265196).

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

9090616580 is a wasteful number, since it uses less digits than its factorization.

9090616580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27384 (or 27382 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 44.

The square root of 9090616580 is about 95344.7249720717. The cubic root of 9090616580 is about 2087.0416375867.

The spelling of 9090616580 in words is "nine billion, ninety million, six hundred sixteen thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 457 740 914 1828 2285 4570 9140 16909 26881 33818 53762 67636 84545 107524 134405 169090 268810 338180 537620 994597 1989194 3978388 4972985 9945970 12284617 19891940 24569234 49138468 61423085 122846170 245692340 454530829 909061658 1818123316 2272654145 4545308290 9090616580