Search a number
-
+
10933284096 = 2834775323
BaseRepresentation
bin10100010111010110…
…01010110100000000
31001012221220101020000
422023223022310000
5134342410042341
65004522120000
7534636244560
oct121353126400
931187811200
1010933284096
114700610189
122151650000
131053168897
1475a0a4da0
1543ecb18b6
hex28bacad00

10933284096 has 180 divisors, whose sum is σ = 37258865952. Its totient is φ = 3123753984.

The previous prime is 10933284049. The next prime is 10933284097. The reversal of 10933284096 is 69048233901.

It is a happy number.

It is a super-2 number, since 2×109332840962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10933284097) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 107491 + ... + 182813.

Almost surely, 210933284096 is an apocalyptic number.

10933284096 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 10933284096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18629432976).

10933284096 is an abundant number, since it is smaller than the sum of its proper divisors (26325581856).

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

10933284096 is an frugal number, since it uses more digits than its factorization.

10933284096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75358 (or 75335 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 10933284096 in words is "ten billion, nine hundred thirty-three million, two hundred eighty-four thousand, ninety-six".