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11298406392 = 23337131930253
BaseRepresentation
bin10101000010110111…
…11111111111111000
31002011101221111212000
422201123333333320
5141114343001032
65105044021000
7546661604220
oct124133777770
932141844760
1011298406392
114878723a49
122233991760
1310b09b7c90
1479278b080
15461d85e7c
hex2a16ffff8

11298406392 has 256 divisors, whose sum is σ = 40661376000. Its totient is φ = 2822874624.

The previous prime is 11298406369. The next prime is 11298406417. The reversal of 11298406392 is 29360489211.

11298406392 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 8 + 4 + 0 + 639 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 358338 + ... + 388590.

It is an arithmetic number, because the mean of its divisors is an integer number (158833500).

Almost surely, 211298406392 is an apocalyptic number.

11298406392 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 11298406392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20330688000).

11298406392 is an abundant number, since it is smaller than the sum of its proper divisors (29362969608).

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

11298406392 is a wasteful number, since it uses less digits than its factorization.

11298406392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30307 (or 30297 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 11298406392 in words is "eleven billion, two hundred ninety-eight million, four hundred six thousand, three hundred ninety-two".