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52431123305 = 5114789349653
BaseRepresentation
bin110000110101001000…
…110111001101101001
312000100000102000211202
4300311020313031221
51324334331421210
640030404533545
73534202123541
oct606510671551
9160300360752
1052431123305
1120266002a70
12a1b30b12b5
134c37634a22
142775572321
15156d0179a5
hexc35237369

52431123305 has 64 divisors (see below), whose sum is σ = 71197056000. Its totient is φ = 36739000320.

The previous prime is 52431123287. The next prime is 52431123341. The reversal of 52431123305 is 50332113425.

It is a happy number.

52431123305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-52431123305 is a prime.

It is a super-2 number, since 2×524311233052 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80292359 + ... + 80293011.

It is an arithmetic number, because the mean of its divisors is an integer number (1112454000).

Almost surely, 252431123305 is an apocalyptic number.

52431123305 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52431123305 is a deficient number, since it is larger than the sum of its proper divisors (18765932695).

52431123305 is a wasteful number, since it uses less digits than its factorization.

52431123305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154.

The product of its (nonzero) digits is 10800, while the sum is 29.

The spelling of 52431123305 in words is "fifty-two billion, four hundred thirty-one million, one hundred twenty-three thousand, three hundred five".

Divisors: 1 5 11 47 55 89 235 349 445 517 653 979 1745 2585 3265 3839 4183 4895 7183 16403 19195 20915 30691 31061 35915 46013 58117 82015 153455 155305 180433 227897 230065 290585 337601 341671 639287 902165 1139485 1459867 1688005 1708355 2506867 2731499 3196435 7299335 10711159 12534335 13657495 16058537 20282833 30046489 53555795 80292685 101414165 117822749 150232445 223111163 589113745 953293151 1115555815 4766465755 10486224661 52431123305