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1688168168063 = 13563230655577
BaseRepresentation
bin11000100100001110101…
…010011111101001111111
312222101110100020111002022
4120210032222133221333
5210124332022334223
63331311142350355
7232652244444506
oct30441652375177
95871410214068
101688168168063
115a0a47a14093
1223321812b3bb
13c32693914a0
145b9ca1c783d
152dda6c1aac8
hex1890ea9fa7f

1688168168063 has 8 divisors (see below), whose sum is σ = 1821256443888. Its totient is φ = 1555541204544.

The previous prime is 1688168168053. The next prime is 1688168168119. The reversal of 1688168168063 is 3608618618861.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1688168168063 - 26 = 1688168167999 is a prime.

It is a super-3 number, since 3×16881681680633 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1688168167987 and 1688168168005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1688168168053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115320470 + ... + 115335107.

It is an arithmetic number, because the mean of its divisors is an integer number (227657055486).

Almost surely, 21688168168063 is an apocalyptic number.

1688168168063 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1688168168063 is a deficient number, since it is larger than the sum of its proper divisors (133088275825).

1688168168063 is a wasteful number, since it uses less digits than its factorization.

1688168168063 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230656153.

The product of its (nonzero) digits is 15925248, while the sum is 62.

The spelling of 1688168168063 in words is "one trillion, six hundred eighty-eight billion, one hundred sixty-eight million, one hundred sixty-eight thousand, sixty-three".

Divisors: 1 13 563 7319 230655577 2998522501 129859089851 1688168168063