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997580129 = 71324212003
BaseRepresentation
bin111011011101011…
…101110101100001
32120112010022200012
4323131131311201
54020340031004
6242553334305
733502201610
oct7335356541
92515108605
10997580129
11472120797
1223a107395
1312b8a0900
14966bb877
155c8a446e
hex3b75dd61

997580129 has 24 divisors (see below), whose sum is σ = 1238087232. Its totient is φ = 787026240.

The previous prime is 997580117. The next prime is 997580149. The reversal of 997580129 is 921085799.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-997580129 is a prime.

It is a super-2 number, since 2×9975801292 = 1990332227551313282, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (997580149) by changing a digit.

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, 497042 + ... + 499044.

It is an arithmetic number, because the mean of its divisors is an integer number (51586968).

Almost surely, 2997580129 is an apocalyptic number.

It is an amenable number.

997580129 is a deficient number, since it is larger than the sum of its proper divisors (240507103).

997580129 is a wasteful number, since it uses less digits than its factorization.

997580129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 50.

The square root of 997580129 is about 31584.4919066304. The cubic root of 997580129 is about 999.1927248155.

The spelling of 997580129 in words is "nine hundred ninety-seven million, five hundred eighty thousand, one hundred twenty-nine".

Divisors: 1 7 13 91 169 421 1183 2003 2947 5473 14021 26039 38311 71149 182273 338507 498043 843263 2369549 5902841 10962419 76736933 142511447 997580129