Search a number
-
+
12304990236672 = 212357419271
BaseRepresentation
bin1011001100001111101010…
…0100100111000000000000
31121120100022221000102100000
42303003322210213000000
53103101110000033142
642100500125200000
72410002062160000
oct263037244470000
947510287012300
1012304990236672
113a1457621a841
121468958400000
136b348133c153
143077c97a0000
1516513375814c
hexb30fa927000

12304990236672 has 1560 divisors, whose sum is σ = 45430793058560. Its totient is φ = 3318383738880.

The previous prime is 12304990236659. The next prime is 12304990236673. The reversal of 12304990236672 is 27663209940321.

12304990236672 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 499 + 0 + 23 + 66 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12304990236673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 45405867897 + ... + 45405868167.

Almost surely, 212304990236672 is an apocalyptic number.

12304990236672 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 12304990236672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22715396529280).

12304990236672 is an abundant number, since it is smaller than the sum of its proper divisors (33125802821888).

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

12304990236672 is an frugal number, since it uses more digits than its factorization.

12304990236672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 12304990236672 in words is "twelve trillion, three hundred four billion, nine hundred ninety million, two hundred thirty-six thousand, six hundred seventy-two".