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13486268430 = 23251271179901
BaseRepresentation
bin11001000111101100…
…00010000000001110
31021210212210102100100
430203312002000032
5210104441042210
610110121311530
7655126250565
oct144366020016
937725712310
1013486268430
1157a0713098
1227446355a6
13136c0598bb
1491d188bdc
1553dea65c0
hex323d8200e

13486268430 has 48 divisors (see below), whose sum is σ = 35340424704. Its totient is φ = 3568017600.

The previous prime is 13486268399. The next prime is 13486268449. The reversal of 13486268430 is 3486268431.

13486268430 is a `hidden beast` number, since 1 + 348 + 6 + 268 + 43 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 578521 + ... + 601380.

It is an arithmetic number, because the mean of its divisors is an integer number (736258848).

Almost surely, 213486268430 is an apocalyptic number.

13486268430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13486268430 is an abundant number, since it is smaller than the sum of its proper divisors (21854156274).

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

13486268430 is a wasteful number, since it uses less digits than its factorization.

13486268430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180041 (or 1180038 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

Subtracting from 13486268430 its reverse (3486268431), we obtain a palindrome (9999999999).

The spelling of 13486268430 in words is "thirteen billion, four hundred eighty-six million, two hundred sixty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 127 254 381 635 762 1143 1270 1905 2286 3810 5715 11430 1179901 2359802 3539703 5899505 7079406 10619109 11799010 17698515 21238218 35397030 53095545 106191090 149847427 299694854 449542281 749237135 899084562 1348626843 1498474270 2247711405 2697253686 4495422810 6743134215 13486268430