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11478793125 = 354171312749
BaseRepresentation
bin10101011000011000…
…00111101110100101
31002121222101002221010
422230030013232211
5142002032340000
65135010212433
7554312063112
oct125414075645
932558332833
1011478793125
114960530198
122284284119
13110c195ba7
147ac705909
15472b18d50
hex2ac307ba5

11478793125 has 80 divisors (see below), whose sum is σ = 20412216000. Its totient is φ = 5715840000.

The previous prime is 11478793099. The next prime is 11478793163. The reversal of 11478793125 is 52139787411.

11478793125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11478793125 - 26 = 11478793061 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4174251 + ... + 4176999.

It is an arithmetic number, because the mean of its divisors is an integer number (255152700).

Almost surely, 211478793125 is an apocalyptic number.

11478793125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11478793125 is a deficient number, since it is larger than the sum of its proper divisors (8933422875).

11478793125 is a wasteful number, since it uses less digits than its factorization.

11478793125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2905 counting only the distinct ones).

The product of its digits is 423360, while the sum is 48.

The spelling of 11478793125 in words is "eleven billion, four hundred seventy-eight million, seven hundred ninety-three thousand, one hundred twenty-five".

Divisors: 1 3 5 15 17 25 51 75 85 125 131 255 375 393 425 625 655 1275 1875 1965 2125 2227 2749 3275 6375 6681 8247 9825 10625 11135 13745 16375 31875 33405 41235 46733 49125 55675 68725 81875 140199 167025 206175 233665 245625 278375 343625 360119 700995 835125 1030875 1080357 1168325 1391875 1718125 1800595 3504975 4175625 5154375 5401785 5841625 6122023 9002975 17524875 18366069 27008925 29208125 30610115 45014875 87624375 91830345 135044625 153050575 225074375 459151725 675223125 765252875 2295758625 3826264375 11478793125