Search a number
-
+
33104941056 = 212341147193
BaseRepresentation
bin11110110101001101…
…010101000000000000
310011110010210020210000
4132311031111000000
51020244331103211
623112545440000
72251241233065
oct366515250000
9104403706700
1033104941056
1113048970220
1264ba940000
133177730125
14186096ac6c
15cdb4eb656
hex7b5355000

33104941056 has 520 divisors, whose sum is σ = 110750707584. Its totient is φ = 9767485440.

The previous prime is 33104941031. The next prime is 33104941063. The reversal of 33104941056 is 65014940133.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 33104941056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 171528096 + ... + 171528288.

Almost surely, 233104941056 is an apocalyptic number.

33104941056 is a gapful number since it is divisible by the number (36) 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 33104941056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55375353792).

33104941056 is an abundant number, since it is smaller than the sum of its proper divisors (77645766528).

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

33104941056 is a wasteful number, since it uses less digits than its factorization.

33104941056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 33104941056 in words is "thirty-three billion, one hundred four million, nine hundred forty-one thousand, fifty-six".