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14854435020 = 22335233118061
BaseRepresentation
bin11011101010110010…
…01011000011001100
31102100020020111002000
431311121023003030
5220410213410040
610453554032300
71034051420505
oct156531130314
942306214060
1014854435020
116332a39987
122a66878690
131529640a29
14a0cb71bac
155be15e130
hex37564b0cc

14854435020 has 96 divisors (see below), whose sum is σ = 46412533440. Its totient is φ = 3944148480.

The previous prime is 14854435007. The next prime is 14854435073. The reversal of 14854435020 is 2053445841.

It is a happy number.

14854435020 is a `hidden beast` number, since 1 + 48 + 544 + 3 + 50 + 20 = 666.

14854435020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 66790 + ... + 184850.

It is an arithmetic number, because the mean of its divisors is an integer number (483463890).

Almost surely, 214854435020 is an apocalyptic number.

14854435020 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 14854435020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23206266720).

14854435020 is an abundant number, since it is smaller than the sum of its proper divisors (31558098420).

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

14854435020 is a wasteful number, since it uses less digits than its factorization.

14854435020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118312 (or 118304 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 14854435020 in words is "fourteen billion, eight hundred fifty-four million, four hundred thirty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 233 270 466 540 699 932 1165 1398 2097 2330 2796 3495 4194 4660 6291 6990 8388 10485 12582 13980 20970 25164 31455 41940 62910 118061 125820 236122 354183 472244 590305 708366 1062549 1180610 1416732 1770915 2125098 2361220 3187647 3541830 4250196 5312745 6375294 7083660 10625490 12750588 15938235 21250980 27508213 31876470 55016426 63752940 82524639 110032852 137541065 165049278 247573917 275082130 330098556 412623195 495147834 550164260 742721751 825246390 990295668 1237869585 1485443502 1650492780 2475739170 2970887004 3713608755 4951478340 7427217510 14854435020