Search a number
-
+
11492297712 = 2433722997193
BaseRepresentation
bin10101011001111111…
…01000101111110000
31002122220210012202000
422230333220233300
5142014012011322
65140211454000
7554534630100
oct125477505760
932586705660
1011492297712
114968114405
1222888b7300
131111c1397c
147b041d200
15473dd53ac
hex2acfe8bf0

11492297712 has 480 divisors, whose sum is σ = 40313044800. Its totient is φ = 3121348608.

The previous prime is 11492297701. The next prime is 11492297723. The reversal of 11492297712 is 21779229411.

It is a happy number.

11492297712 is a `hidden beast` number, since 1 + 1 + 492 + 2 + 97 + 71 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (11492297701) and next prime (11492297723).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59545488 + ... + 59545680.

It is an arithmetic number, because the mean of its divisors is an integer number (83985510).

Almost surely, 211492297712 is an apocalyptic number.

11492297712 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 11492297712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20156522400).

11492297712 is an abundant number, since it is smaller than the sum of its proper divisors (28820747088).

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

11492297712 is a wasteful number, since it uses less digits than its factorization.

11492297712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 331 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The spelling of 11492297712 in words is "eleven billion, four hundred ninety-two million, two hundred ninety-seven thousand, seven hundred twelve".