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14616114630 = 2351346780251
BaseRepresentation
bin11011001110011000…
…00011010111000110
31101201121210112221220
431213030003113012
5214413211132010
610414202021210
71025125632045
oct154714032706
941647715856
1014616114630
116220463287
1229baaa7806
1314bc15a550
149c925655c
155a8285970
hex3673035c6

14616114630 has 64 divisors (see below), whose sum is σ = 37858399488. Its totient is φ = 3590064000.

The previous prime is 14616114587. The next prime is 14616114631. The reversal of 14616114630 is 3641161641.

14616114630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14616114591 and 14616114600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14616114631) 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 31 ways as a sum of consecutive naturals, for example, 142005 + ... + 222255.

It is an arithmetic number, because the mean of its divisors is an integer number (591537492).

Almost surely, 214616114630 is an apocalyptic number.

14616114630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14616114630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18929199744).

14616114630 is an abundant number, since it is smaller than the sum of its proper divisors (23242284858).

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

14616114630 is a wasteful number, since it uses less digits than its factorization.

14616114630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80741.

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 14616114630 in words is "fourteen billion, six hundred sixteen million, one hundred fourteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 467 934 1401 2335 2802 4670 6071 7005 12142 14010 18213 30355 36426 60710 80251 91065 160502 182130 240753 401255 481506 802510 1043263 1203765 2086526 2407530 3129789 5216315 6259578 10432630 15648945 31297890 37477217 74954434 112431651 187386085 224863302 374772170 487203821 562158255 974407642 1124316510 1461611463 2436019105 2923222926 4872038210 7308057315 14616114630