Search a number
-
+
12070707264 = 2633711831093
BaseRepresentation
bin10110011110111100…
…00110000001000000
31011011020011110111000
423033132012001000
5144210100113024
65313433052000
7605060214240
oct131736060100
934136143430
1012070707264
115134666030
12240a557000
1311a49c0245
14827185b20
154a9a8acc9
hex2cf786040

12070707264 has 448 divisors, whose sum is σ = 44815841280. Its totient is φ = 3094640640.

The previous prime is 12070707223. The next prime is 12070707283. The reversal of 12070707264 is 46270707021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11043102 + ... + 11044194.

It is an arithmetic number, because the mean of its divisors is an integer number (100035360).

Almost surely, 212070707264 is an apocalyptic number.

12070707264 is a gapful number since it is divisible by the number (14) 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 12070707264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22407920640).

12070707264 is an abundant number, since it is smaller than the sum of its proper divisors (32745134016).

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

12070707264 is a wasteful number, since it uses less digits than its factorization.

12070707264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 12070707264 in words is "twelve billion, seventy million, seven hundred seven thousand, two hundred sixty-four".