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11404083645 = 3252331087657
BaseRepresentation
bin10101001111011110…
…01000000110111101
31002102202210110210100
422213233020012331
5141323421134040
65123341031313
7552414053163
oct124757100675
932382713710
1011404083645
114922342919
122263255539
1310c98688b6
147a2819233
1546b2acb30
hex2a7bc81bd

11404083645 has 24 divisors (see below), whose sum is σ = 19851933816. Its totient is φ = 6056068608.

The previous prime is 11404083643. The next prime is 11404083653. The reversal of 11404083645 is 54638040411.

11404083645 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 4 + 0 + 8 + 3 + 645 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1044711684 + 10359371961 = 32322^2 + 101781^2 .

It is not a de Polignac number, because 11404083645 - 21 = 11404083643 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11404083641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 533344 + ... + 554313.

It is an arithmetic number, because the mean of its divisors is an integer number (827163909).

Almost surely, 211404083645 is an apocalyptic number.

11404083645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11404083645 is a deficient number, since it is larger than the sum of its proper divisors (8447850171).

11404083645 is a wasteful number, since it uses less digits than its factorization.

11404083645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087901 (or 1087898 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 11404083645 in words is "eleven billion, four hundred four million, eighty-three thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 45 233 699 1165 2097 3495 10485 1087657 3262971 5438285 9788913 16314855 48944565 253424081 760272243 1267120405 2280816729 3801361215 11404083645