Search a number
-
+
3305699135190 = 2325193765979283
BaseRepresentation
bin110000000110101011000…
…001011100111011010110
3102201000120212010100221100
4300012223001130323112
5413130032434311230
611010341152530530
7460554210014064
oct60065301347326
912630525110840
103305699135190
111064a36a89661
124547bbb50a46
131ac9592b5c4a
14b5dd4ccb034
155aec740a660
hex301ab05ced6

3305699135190 has 192 divisors, whose sum is σ = 9305911929600. Its totient is φ = 811309830912.

The previous prime is 3305699135177. The next prime is 3305699135231. The reversal of 3305699135190 is 915319965033.

3305699135190 is a `hidden beast` number, since 3 + 30 + 5 + 6 + 9 + 91 + 3 + 519 + 0 = 666.

It is a super-2 number, since 2×33056991351902 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41655289 + ... + 41734571.

It is an arithmetic number, because the mean of its divisors is an integer number (48468291300).

Almost surely, 23305699135190 is an apocalyptic number.

3305699135190 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3305699135190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4652955964800).

3305699135190 is an abundant number, since it is smaller than the sum of its proper divisors (6000212794410).

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

3305699135190 is a wasteful number, since it uses less digits than its factorization.

3305699135190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80011 (or 80008 counting only the distinct ones).

The product of its (nonzero) digits is 2952450, while the sum is 54.

The spelling of 3305699135190 in words is "three trillion, three hundred five billion, six hundred ninety-nine million, one hundred thirty-five thousand, one hundred ninety".