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997096000759 = 17239372721577
BaseRepresentation
bin11101000001001111000…
…11011000110011110111
310112022200100000222102121
432200213203120303313
5112314023034011014
62042020511420411
7132015653110645
oct16404743306367
93468610028377
10997096000759
11354958775321
121412b1524707
13730447576b1
143638c8b0195
151ae0b837124
hexe8278d8cf7

997096000759 has 16 divisors (see below), whose sum is σ = 1102826950848. Its totient is φ = 896683087872.

The previous prime is 997096000699. The next prime is 997096000763. The reversal of 997096000759 is 957000690799.

It is a 11-Lehmer number, since φ(997096000759) divides (997096000759-1)11.

It is a cyclic number.

It is not a de Polignac number, because 997096000759 - 27 = 997096000631 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 997096000697 and 997096000706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997096000559) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 994422 + ... + 1727155.

It is an arithmetic number, because the mean of its divisors is an integer number (68926684428).

Almost surely, 2997096000759 is an apocalyptic number.

997096000759 is a deficient number, since it is larger than the sum of its proper divisors (105730950089).

997096000759 is a wasteful number, since it uses less digits than its factorization.

997096000759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722554.

The product of its (nonzero) digits is 9644670, while the sum is 61.

The spelling of 997096000759 in words is "nine hundred ninety-seven billion, ninety-six million, seven hundred fifty-nine", and thus it is an aban number.

Divisors: 1 17 23 391 937 15929 21551 366367 2721577 46266809 62596271 1064136607 2550117649 43352000033 58652705927 997096000759