Search a number
-
+
12874010517612 = 22344712719733791
BaseRepresentation
bin1011101101010111011011…
…0100101110000001101100
31200120202001221001200120000
42323111312310232001230
53141411433143030422
643214123324424300
72466054660564246
oct273256664560154
950522057050500
1012874010517612
114113923348932
12153b0a00a8090
1372502494863a
1432716944b096
15174d38974cac
hexbb576d2e06c

12874010517612 has 240 divisors, whose sum is σ = 34818792357888. Its totient is φ = 4145685909120.

The previous prime is 12874010517601. The next prime is 12874010517647. The reversal of 12874010517612 is 21671501047821.

12874010517612 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 4 + 0 + 10 + 5 + 17 + 612 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 380972437 + ... + 381006227.

Almost surely, 212874010517612 is an apocalyptic number.

12874010517612 is a gapful number since it is divisible by the number (12) 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 12874010517612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409396178944).

12874010517612 is an abundant number, since it is smaller than the sum of its proper divisors (21944781840276).

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

12874010517612 is a wasteful number, since it uses less digits than its factorization.

12874010517612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34178 (or 34167 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 12874010517612 in words is "twelve trillion, eight hundred seventy-four billion, ten million, five hundred seventeen thousand, six hundred twelve".