Search a number
-
+
1147215890016 = 25347217531331
BaseRepresentation
bin10000101100011011011…
…001010100011001100000
311001200011110002111110000
4100230123121110121200
5122243444231440031
62235005041540000
7145612036112400
oct20543331243140
94050143074400
101147215890016
11402593509aa9
12166408344600
1384249ac2531
143d75014c800
151ec95be93e6
hex10b1b654660

1147215890016 has 360 divisors, whose sum is σ = 4155652775736. Its totient is φ = 308494448640.

The previous prime is 1147215890011. The next prime is 1147215890039. The reversal of 1147215890016 is 6100985127411.

1147215890016 is a `hidden beast` number, since 1 + 1 + 47 + 21 + 589 + 0 + 0 + 1 + 6 = 666.

It is a super-2 number, since 2×11472158900162 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1147215890011) 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 59 ways as a sum of consecutive naturals, for example, 1893471 + ... + 2424801.

Almost surely, 21147215890016 is an apocalyptic number.

1147215890016 is a gapful number since it is divisible by the number (16) 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 1147215890016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077826387868).

1147215890016 is an abundant number, since it is smaller than the sum of its proper divisors (3008436885720).

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

1147215890016 is a wasteful number, since it uses less digits than its factorization.

1147215890016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531384 (or 531360 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 1147215890016 in words is "one trillion, one hundred forty-seven billion, two hundred fifteen million, eight hundred ninety thousand, sixteen".