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14709406950 = 2335271556551
BaseRepresentation
bin11011011001011111…
…11011110011100110
31101222010100021222000
431230233323303212
5220111102010300
610431333350130
71030340616240
oct155457736346
941863307860
1014709406950
116269093177
122a26198346
131505592bc4
149d77bd090
155b1562c00
hex36cbfbce6

14709406950 has 96 divisors (see below), whose sum is σ = 46322987520. Its totient is φ = 3362148000.

The previous prime is 14709406931. The next prime is 14709406963. The reversal of 14709406950 is 5960490741.

14709406950 is a `hidden beast` number, since 1 + 470 + 94 + 0 + 6 + 95 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 14709406896 and 14709406905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 768826 + ... + 787725.

It is an arithmetic number, because the mean of its divisors is an integer number (482531120).

Almost surely, 214709406950 is an apocalyptic number.

14709406950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14709406950 is an abundant number, since it is smaller than the sum of its proper divisors (31613580570).

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

14709406950 is a wasteful number, since it uses less digits than its factorization.

14709406950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556579 (or 1556568 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 14709406950 in words is "fourteen billion, seven hundred nine million, four hundred six thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 90 105 126 135 150 175 189 210 225 270 315 350 378 450 525 630 675 945 1050 1350 1575 1890 3150 4725 9450 1556551 3113102 4669653 7782755 9339306 10895857 14008959 15565510 21791714 23348265 28017918 32687571 38913775 42026877 46696530 54479285 65375142 70044795 77827550 84053754 98062713 108958570 116741325 140089590 163437855 196125426 210134385 233482650 272396425 294188139 326875710 350223975 420268770 490313565 544792850 588376278 700447950 817189275 980627130 1050671925 1470940695 1634378550 2101343850 2451567825 2941881390 4903135650 7354703475 14709406950