Search a number
-
+
12134620077075 = 335231579910159
BaseRepresentation
bin1011000010010100111110…
…1110000001110000010011
31120222001120112111120201000
42300211033232001300103
53042303200214431300
641450322325313043
72361461124542226
oct260451756016023
946861515446630
1012134620077075
113959299759251
12143b92b865783
136a039c7c0c22
142dd4668cd5bd
151609b1690c00
hexb094fb81c13

12134620077075 has 48 divisors (see below), whose sum is σ = 23010835148800. Its totient is φ = 6263029706400.

The previous prime is 12134620077043. The next prime is 12134620077089. The reversal of 12134620077075 is 57077002643121.

12134620077075 is a `hidden beast` number, since 1 + 2 + 13 + 4 + 620 + 0 + 7 + 7 + 0 + 7 + 5 = 666.

It is not a de Polignac number, because 12134620077075 - 25 = 12134620077043 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12134620077075.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289934155 + ... + 289976004.

Almost surely, 212134620077075 is an apocalyptic number.

12134620077075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12134620077075 is a deficient number, since it is larger than the sum of its proper divisors (10876215071725).

12134620077075 is a wasteful number, since it uses less digits than its factorization.

12134620077075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579910209 (or 579910198 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 12134620077075 in words is "twelve trillion, one hundred thirty-four billion, six hundred twenty million, seventy-seven thousand, seventy-five".

Divisors: 1 3 5 9 15 25 27 31 45 75 93 135 155 225 279 465 675 775 837 1395 2325 4185 6975 20925 579910159 1739730477 2899550795 5219191431 8698652385 14497753975 15657574293 17977214929 26095957155 43493261925 53931644787 78287871465 89886074645 130479785775 161794934361 269658223935 391439357325 449430373225 485384803083 808974671805 1348291119675 2426924015415 4044873359025 12134620077075