Search a number
-
+
12274472500992 = 28321317296113627
BaseRepresentation
bin1011001010011101111110…
…0100101011111100000000
31121110102120002111211010100
42302213133210223330000
53102101104430012432
642034452000202400
72404541604535452
oct262473744537400
947412502454110
1012274472500992
113a02635806289
121462a60009400
136b06299223a0
143061326a42d2
1516444946107c
hexb29df92bf00

12274472500992 has 864 divisors, whose sum is σ = 42433598450880. Its totient is φ = 3375515566080.

The previous prime is 12274472500991. The next prime is 12274472501059. The reversal of 12274472500992 is 29900527447221.

12274472500992 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 4 + 47 + 2 + 500 + 9 + 92 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12274472500991) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 900739683 + ... + 900753309.

It is an arithmetic number, because the mean of its divisors is an integer number (49112961170).

Almost surely, 212274472500992 is an apocalyptic number.

12274472500992 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 12274472500992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21216799225440).

12274472500992 is an abundant number, since it is smaller than the sum of its proper divisors (30159125949888).

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

12274472500992 is a wasteful number, since it uses less digits than its factorization.

12274472500992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13769 (or 13752 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 12274472500992 in words is "twelve trillion, two hundred seventy-four billion, four hundred seventy-two million, five hundred thousand, nine hundred ninety-two".