Search a number
-
+
190844969673696 = 25313217259689879
BaseRepresentation
bin101011011001001010001110…
…100111111110001111100000
3221000201121020001220122220220
4223121022032213332033200
5200003300444214024241
61513520545125003040
755125044154442512
oct5331121647761740
9830647201818826
10190844969673696
1155899996076508
12194a304a253480
1382647ac933800
14351ad35473bb2
15170e4b038b166
hexad928e9fe3e0

190844969673696 has 432 divisors, whose sum is σ = 586023201993600. Its totient is φ = 54330508517376.

The previous prime is 190844969673667. The next prime is 190844969673751. The reversal of 190844969673696 is 696376969448091.

It is a happy number.

It is a super-3 number, since 3×1908449696736963 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 276290485 + ... + 276980363.

It is an arithmetic number, because the mean of its divisors is an integer number (1356535189800).

Almost surely, 2190844969673696 is an apocalyptic number.

190844969673696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190844969673696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293011600996800).

190844969673696 is an abundant number, since it is smaller than the sum of its proper divisors (395178232319904).

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

190844969673696 is a wasteful number, since it uses less digits than its factorization.

190844969673696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690011 (or 689973 counting only the distinct ones).

The product of its (nonzero) digits is 22856214528, while the sum is 87.

The spelling of 190844969673696 in words is "one hundred ninety trillion, eight hundred forty-four billion, nine hundred sixty-nine million, six hundred seventy-three thousand, six hundred ninety-six".