Search a number
-
+
1192031053668 = 22337132329475373
BaseRepresentation
bin10001010110001010100…
…101100110011101100100
311012221211200201200201000
4101112022211212131210
5124012234422204133
62311340030233300
7152056432530240
oct21261245463544
94187750650630
101192031053668
1141a5a04a9834
12173034955830
138853c628350
14419a2025420
152101a2c6413
hex1158a966764

1192031053668 has 1536 divisors, whose sum is σ = 4330871193600. Its totient is φ = 274985238528.

The previous prime is 1192031053657. The next prime is 1192031053669. The reversal of 1192031053668 is 8663501302911.

1192031053668 is a `hidden beast` number, since 1 + 1 + 9 + 20 + 31 + 0 + 536 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (1192031053669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 16329192480 + ... + 16329192552.

It is an arithmetic number, because the mean of its divisors is an integer number (2819577600).

Almost surely, 21192031053668 is an apocalyptic number.

1192031053668 is a gapful number since it is divisible by the number (18) 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 1192031053668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165435596800).

1192031053668 is an abundant number, since it is smaller than the sum of its proper divisors (3138840139932).

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

1192031053668 is a wasteful number, since it uses less digits than its factorization.

1192031053668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 1192031053668 in words is "one trillion, one hundred ninety-two billion, thirty-one million, fifty-three thousand, six hundred sixty-eight".