Search a number
-
+
114826115950 = 25271347536947
BaseRepresentation
bin110101011110000101…
…0110111101101101110
3101222101102121001212021
41222330022313231232
53340130441202300
6124430030100354
711203332611230
oct1527412675556
9358342531767
10114826115950
1144774392497
121a30704a6ba
13aa9c316610
1457b4140250
152ec0b52d1a
hex1abc2b7b6e

114826115950 has 96 divisors (see below), whose sum is σ = 268456817664. Its totient is φ = 35567303040.

The previous prime is 114826115941. The next prime is 114826116001. The reversal of 114826115950 is 59511628411.

It is a junction number, because it is equal to n+sod(n) for n = 114826115897 and 114826115906.

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, 54624 + ... + 482323.

It is an arithmetic number, because the mean of its divisors is an integer number (2796425184).

Almost surely, 2114826115950 is an apocalyptic number.

114826115950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114826115950 is an abundant number, since it is smaller than the sum of its proper divisors (153630701714).

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

114826115950 is a wasteful number, since it uses less digits than its factorization.

114826115950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537026 (or 537021 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 43.

The spelling of 114826115950 in words is "one hundred fourteen billion, eight hundred twenty-six million, one hundred fifteen thousand, nine hundred fifty".

Divisors: 1 2 5 7 10 13 14 25 26 35 47 50 65 70 91 94 130 175 182 235 325 329 350 455 470 611 650 658 910 1175 1222 1645 2275 2350 3055 3290 4277 4550 6110 8225 8554 15275 16450 21385 30550 42770 106925 213850 536947 1073894 2684735 3758629 5369470 6980311 7517258 13423675 13960622 18793145 25236509 26847350 34901555 37586290 48862177 50473018 69803110 93965725 97724354 126182545 174507775 176655563 187931450 244310885 252365090 328074617 349015550 353311126 488621770 630912725 656149234 883277815 1221554425 1261825450 1640373085 1766555630 2296522319 2443108850 3280746170 4416389075 4593044638 8201865425 8832778150 11482611595 16403730850 22965223190 57413057975 114826115950