Search a number
-
+
11374234812 = 2234174753829
BaseRepresentation
bin10101001011111010…
…10000110010111100
31002100200121222220000
422211331100302330
5141243301003222
65120353154300
7551602254303
oct124575206274
932320558800
1011374234812
114907505a66
12225525b990
1310c3617675
1479c88943a
154688639ac
hex2a5f50cbc

11374234812 has 240 divisors, whose sum is σ = 32799634560. Its totient is φ = 3422435328.

The previous prime is 11374234789. The next prime is 11374234813. The reversal of 11374234812 is 21843247311.

11374234812 is a `hidden beast` number, since 1 + 137 + 42 + 3 + 481 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11374234813) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13720014 + ... + 13720842.

It is an arithmetic number, because the mean of its divisors is an integer number (136665144).

Almost surely, 211374234812 is an apocalyptic number.

11374234812 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 11374234812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16399817280).

11374234812 is an abundant number, since it is smaller than the sum of its proper divisors (21425399748).

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

11374234812 is a wasteful number, since it uses less digits than its factorization.

11374234812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 951 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The spelling of 11374234812 in words is "eleven billion, three hundred seventy-four million, two hundred thirty-four thousand, eight hundred twelve".