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11413424232 = 2335717103479
BaseRepresentation
bin10101010000100101…
…10000100001101000
31002110102101000200000
422220102300201220
5141333314033412
65124313143000
7552556335210
oct125022604150
932412330600
1011413424232
114927642611
1222663baa60
1310cb789282
147a3b6b240
1546c0054dc
hex2a84b0868

11413424232 has 384 divisors, whose sum is σ = 39249100800. Its totient is φ = 3033013248.

The previous prime is 11413424177. The next prime is 11413424257. The reversal of 11413424232 is 23242431411.

11413424232 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 3 + 424 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11413424196 and 11413424205.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23827369 + ... + 23827847.

It is an arithmetic number, because the mean of its divisors is an integer number (102211200).

Almost surely, 211413424232 is an apocalyptic number.

11413424232 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 11413424232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19624550400).

11413424232 is an abundant number, since it is smaller than the sum of its proper divisors (27835676568).

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

11413424232 is a wasteful number, since it uses less digits than its factorization.

11413424232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 611 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 11413424232 its reverse (23242431411), we get a palindrome (34655855643).

The spelling of 11413424232 in words is "eleven billion, four hundred thirteen million, four hundred twenty-four thousand, two hundred thirty-two".