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1392161396958 = 232163642173897
BaseRepresentation
bin10100010000100011010…
…010010001100011011110
311221002102010021111120200
4110100203102101203132
5140302121304200313
62543314454124330
7202403025424653
oct24204322214336
94832363244520
101392161396958
114974598a6862
121a59880506a6
13a1384953317
144b549555c2a
152632ede5b73
hex144234918de

1392161396958 has 48 divisors (see below), whose sum is σ = 3035368626576. Its totient is φ = 461128775040.

The previous prime is 1392161396753. The next prime is 1392161396959. The reversal of 1392161396958 is 8596931612931.

1392161396958 is a `hidden beast` number, since 1 + 3 + 9 + 2 + 1 + 613 + 9 + 6 + 9 + 5 + 8 = 666.

It is a super-2 number, since 2×13921613969582 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1392161396895 and 1392161396904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1392161396959) 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 23 ways as a sum of consecutive naturals, for example, 18802266 + ... + 18876162.

It is an arithmetic number, because the mean of its divisors is an integer number (63236846387).

Almost surely, 21392161396958 is an apocalyptic number.

1392161396958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1392161396958 is an abundant number, since it is smaller than the sum of its proper divisors (1643207229618).

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

1392161396958 is a wasteful number, since it uses less digits than its factorization.

1392161396958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80489 (or 80486 counting only the distinct ones).

The product of its digits is 18895680, while the sum is 63.

The spelling of 1392161396958 in words is "one trillion, three hundred ninety-two billion, one hundred sixty-one million, three hundred ninety-six thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 18 163 326 489 978 1467 2934 6421 12842 19263 38526 57789 73897 115578 147794 221691 443382 665073 1046623 1330146 2093246 3139869 6279738 9419607 12045211 18839214 24090422 36135633 72271266 108406899 216813798 474492637 948985274 1423477911 2846955822 4270433733 8540867466 77342299831 154684599662 232026899493 464053798986 696080698479 1392161396958