Search a number
-
+
11347568232 = 233711131912473
BaseRepresentation
bin10101001000101111…
…00010011001101000
31002021211110012012220
422210113202121220
5141214434140412
65114001434040
7551126511210
oct124427423150
932254405186
1011347568232
1148a3451a70
12224833b920
1310bac3ba20
14799107240
1546634768c
hex2a45e2668

11347568232 has 256 divisors, whose sum is σ = 38304645120. Its totient is φ = 2705356800.

The previous prime is 11347568201. The next prime is 11347568251. The reversal of 11347568232 is 23286574311.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 4587348 + ... + 4589820.

It is an arithmetic number, because the mean of its divisors is an integer number (149627520).

Almost surely, 211347568232 is an apocalyptic number.

11347568232 is a gapful number since it is divisible by the number (12) 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 11347568232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19152322560).

11347568232 is an abundant number, since it is smaller than the sum of its proper divisors (26957076888).

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

11347568232 is a wasteful number, since it uses less digits than its factorization.

11347568232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 2700 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The spelling of 11347568232 in words is "eleven billion, three hundred forty-seven million, five hundred sixty-eight thousand, two hundred thirty-two".