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6985666298881 = 172939738219341
BaseRepresentation
bin110010110100111101000…
…1010001000010000000001
3220201211020002120111221001
41211221322022020100001
51403423121033031011
622505100520332001
71320461215550134
oct145517212102001
926654202514831
106985666298881
112253671567566
12949a51614001
133b898cb4c18a
141a21726d621b
15c1aa71517c1
hex65a7a288401

6985666298881 has 32 divisors (see below), whose sum is σ = 7673745250080. Its totient is φ = 6329704550400.

The previous prime is 6985666298861. The next prime is 6985666298917. The reversal of 6985666298881 is 1888926665896.

6985666298881 is digitally balanced in base 3, 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 16 ways, for example, as 2548230400 + 6983118068481 = 50480^2 + 2642559^2 .

It is a cyclic number.

It is not a de Polignac number, because 6985666298881 - 237 = 6848227345409 is a prime.

It is a super-2 number, since 2×69856662988812 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6985666298795 and 6985666298804.

It is not an unprimeable number, because it can be changed into a prime (6985666298861) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 747845271 + ... + 747854611.

It is an arithmetic number, because the mean of its divisors is an integer number (239804539065).

Almost surely, 26985666298881 is an apocalyptic number.

It is an amenable number.

6985666298881 is a deficient number, since it is larger than the sum of its proper divisors (688078951199).

6985666298881 is a wasteful number, since it uses less digits than its factorization.

6985666298881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13605.

The product of its digits is 4299816960, while the sum is 82.

The spelling of 6985666298881 in words is "six trillion, nine hundred eighty-five billion, six hundred sixty-six million, two hundred ninety-eight thousand, eight hundred eighty-one".

Divisors: 1 17 29 397 493 3821 6749 9341 11513 64957 110809 158797 195721 270889 1516937 1883753 3708377 4605113 25787929 35691961 43991173 63042409 107542933 606763337 747849941 1035066869 1828229861 14169708517 17596136773 240885044789 410921546993 6985666298881