Search a number
-
+
12833294859972 = 223513202978251
BaseRepresentation
bin1011101010111111101111…
…1110110011111011000100
31200102211222101100222100000
42322233323332303323010
53140230041441004342
643143311222521300
72463114003320106
oct272577376637304
950384871328300
1012833294859972
1140a862a4266a4
121533218596230
13721236533c22
143251c5bcb576
15173c5422644c
hexbabfbfb3ec4

12833294859972 has 36 divisors (see below), whose sum is σ = 33641188586096. Its totient is φ = 4277764953000.

The previous prime is 12833294859971. The next prime is 12833294860013. The reversal of 12833294859972 is 27995849233821.

12833294859972 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 3 + 29 + 4 + 8 + 599 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12833294859972.

It is not an unprimeable number, because it can be changed into a prime (12833294859971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6601488154 + ... + 6601490097.

Almost surely, 212833294859972 is an apocalyptic number.

12833294859972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12833294859972 is an abundant number, since it is smaller than the sum of its proper divisors (20807893726124).

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

12833294859972 is a wasteful number, since it uses less digits than its factorization.

12833294859972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13202978270 (or 13202978256 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 12833294859972 in words is "twelve trillion, eight hundred thirty-three billion, two hundred ninety-four million, eight hundred fifty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 13202978251 26405956502 39608934753 52811913004 79217869506 118826804259 158435739012 237653608518 356480412777 475307217036 712960825554 1069441238331 1425921651108 2138882476662 3208323714993 4277764953324 6416647429986 12833294859972