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14680814740 = 22519367105269
BaseRepresentation
bin11011010110000101…
…10111010010010100
31101220010112122211021
431223002313102110
5220031242032430
610424432450524
71026542603104
oct155302672224
941803478737
1014680814740
116253a34449
122a186a9a44
1314cc691937
149d3a99204
155adcb607a
hex36b0b7494

14680814740 has 48 divisors (see below), whose sum is σ = 32541062400. Its totient is φ = 5548044672.

The previous prime is 14680814737. The next prime is 14680814741. The reversal of 14680814740 is 4741808641.

It is a happy number.

14680814740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

14680814740 is a modest number, since divided by 814740 gives 14680 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14680814741) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 86826 + ... + 192094.

It is an arithmetic number, because the mean of its divisors is an integer number (677938800).

Almost surely, 214680814740 is an apocalyptic number.

14680814740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14680814740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16270531200).

14680814740 is an abundant number, since it is smaller than the sum of its proper divisors (17860247660).

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

14680814740 is a wasteful number, since it uses less digits than its factorization.

14680814740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105664 (or 105662 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The spelling of 14680814740 in words is "fourteen billion, six hundred eighty million, eight hundred fourteen thousand, seven hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 367 380 734 1468 1835 3670 6973 7340 13946 27892 34865 69730 105269 139460 210538 421076 526345 1052690 2000111 2105380 4000222 8000444 10000555 20001110 38633723 40002220 77267446 154534892 193168615 386337230 734040737 772674460 1468081474 2936162948 3670203685 7340407370 14680814740