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11214804832 = 257311293203
BaseRepresentation
bin10100111000111010…
…00101011101100000
31001221120122010001221
422130131011131200
5140431442223312
65052500104424
7544625161000
oct123435053540
931846563057
1011214804832
114835512950
12220b995114
1310995964ba
14785628000
15459870207
hex29c745760

11214804832 has 192 divisors, whose sum is σ = 29066688000. Its totient is φ = 4217418240.

The previous prime is 11214804779. The next prime is 11214804857. The reversal of 11214804832 is 23840841211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3499743 + ... + 3502945.

It is an arithmetic number, because the mean of its divisors is an integer number (151389000).

Almost surely, 211214804832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11214804832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14533344000).

11214804832 is an abundant number, since it is smaller than the sum of its proper divisors (17851883168).

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

11214804832 is a wasteful number, since it uses less digits than its factorization.

11214804832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3274 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 11214804832 in words is "eleven billion, two hundred fourteen million, eight hundred four thousand, eight hundred thirty-two".