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12345005419288 = 23231992719123997
BaseRepresentation
bin1011001110100100101110…
…1010011010101100011000
31121201011121122122022110121
42303221023222122230120
53104230032341404123
642131114525323024
72412616512463663
oct263511352325430
947634548568417
1012345005419288
113a2a53a7a87a3
121474665406474
136b718a5a91b9
14309703da06da
151661c673d75d
hexb3a4ba9ab18

12345005419288 has 64 divisors (see below), whose sum is σ = 24283768320000. Its totient is φ = 5872256134272.

The previous prime is 12345005419267. The next prime is 12345005419291. The reversal of 12345005419288 is 88291450054321.

It is a happy number.

12345005419288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99496906 + ... + 99620902.

It is an arithmetic number, because the mean of its divisors is an integer number (379433880000).

Almost surely, 212345005419288 is an apocalyptic number.

It is an amenable number.

12345005419288 is a deficient number, since it is larger than the sum of its proper divisors (11938762900712).

12345005419288 is a wasteful number, since it uses less digits than its factorization.

12345005419288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126944 (or 126940 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 52.

The spelling of 12345005419288 in words is "twelve trillion, three hundred forty-five billion, five million, four hundred nineteen thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 23 46 92 184 199 398 796 1592 2719 4577 5438 9154 10876 18308 21752 36616 62537 123997 125074 247994 250148 495988 500296 541081 991976 1082162 2164324 2851931 4328648 5703862 11407724 12444863 22815448 24675403 24889726 49350806 49779452 98701612 99558904 197403224 337147843 567534269 674295686 1135068538 1348591372 2270137076 2697182744 4540274152 7754400389 15508800778 31017601556 62035203112 67092420757 134184841514 268369683028 536739366056 1543125677411 3086251354822 6172502709644 12345005419288