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12441250159650 = 233521325361101167
BaseRepresentation
bin1011010100001011010001…
…0010111101110000100010
31122001101001010002200221000
42311002310102331300202
53112314140020102100
642243233104212430
72422564530333444
oct265026422756042
948041033080830
1012441250159650
113a67339410734
12148b24560a116
136c32880b7900
143102343b8494
1516895ae48900
hexb50b44bdc22

12441250159650 has 1152 divisors, whose sum is σ = 39056105249280. Its totient is φ = 2908638720000.

The previous prime is 12441250159643. The next prime is 12441250159651. The reversal of 12441250159650 is 5695105214421.

12441250159650 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 1 + 2 + 5 + 0 + 1 + 596 + 50 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 12441250159596 and 12441250159605.

It is not an unprimeable number, because it can be changed into a prime (12441250159651) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 74498503867 + ... + 74498504033.

It is an arithmetic number, because the mean of its divisors is an integer number (33902869140).

Almost surely, 212441250159650 is an apocalyptic number.

12441250159650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12441250159650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19528052624640).

12441250159650 is an abundant number, since it is smaller than the sum of its proper divisors (26614855089630).

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

12441250159650 is a wasteful number, since it uses less digits than its factorization.

12441250159650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 12441250159650 in words is "twelve trillion, four hundred forty-one billion, two hundred fifty million, one hundred fifty-nine thousand, six hundred fifty".