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11399054940 = 223357131929421
BaseRepresentation
bin10101001110110111…
…11100011001011100
31002102102022222201000
422213123330121130
5141321124224230
65123041150300
7552323240220
oct124733743134
932372288630
1011399054940
11491a518769
12226162b390
1310c87c7a30
147a1caa780
1546ab17b60
hex2a76fc65c

11399054940 has 768 divisors, whose sum is σ = 47642112000. Its totient is φ = 2194698240.

The previous prime is 11399054923. The next prime is 11399055061. The reversal of 11399054940 is 4945099311.

11399054940 is a `hidden beast` number, since 1 + 13 + 9 + 90 + 549 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27075930 + ... + 27076350.

It is an arithmetic number, because the mean of its divisors is an integer number (62034000).

Almost surely, 211399054940 is an apocalyptic number.

11399054940 is a gapful number since it is divisible by the number (10) 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 11399054940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23821056000).

11399054940 is an abundant number, since it is smaller than the sum of its proper divisors (36243057060).

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

11399054940 is a wasteful number, since it uses less digits than its factorization.

11399054940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 11399054940 in words is "eleven billion, three hundred ninety-nine million, fifty-four thousand, nine hundred forty".