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14700756345 = 3511637913967
BaseRepresentation
bin11011011000011101…
…11011110101111001
31101221112001210120020
431230032323311321
5220101343200340
610430424121053
71030204236642
oct155416736571
941845053506
1014700756345
116264214910
122a23306189
1315038545c2
149d65aa6c9
155b09049d0
hex36c3bbd79

14700756345 has 32 divisors (see below), whose sum is σ = 25665361920. Its totient is φ = 7126011840.

The previous prime is 14700756331. The next prime is 14700756347. The reversal of 14700756345 is 54365700741.

It is a happy number.

It is not a de Polignac number, because 14700756345 - 28 = 14700756089 is a prime.

It is a super-2 number, since 2×147007563452 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14700756297 and 14700756306.

It is not an unprimeable number, because it can be changed into a prime (14700756347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1045552 + ... + 1059518.

It is an arithmetic number, because the mean of its divisors is an integer number (802042560).

Almost surely, 214700756345 is an apocalyptic number.

14700756345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14700756345 is a deficient number, since it is larger than the sum of its proper divisors (10964605575).

14700756345 is a wasteful number, since it uses less digits than its factorization.

14700756345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20365.

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 14700756345 in words is "fourteen billion, seven hundred million, seven hundred fifty-six thousand, three hundred forty-five".

Divisors: 1 3 5 11 15 33 55 165 6379 13967 19137 31895 41901 69835 70169 95685 153637 209505 210507 350845 460911 768185 1052535 2304555 89095493 267286479 445477465 980050423 1336432395 2940151269 4900252115 14700756345