Search a number
-
+
992255007744 = 2103471113171937
BaseRepresentation
bin11100111000001110000…
…00011101110000000000
310111212011221212001110000
432130013000131300000
5112224114240221434
62035500300240000
7131455001255460
oct16340700356000
93455157761400
10992255007744
113528a40a1650
12140380240000
137275282c5a0
143604d99dba0
151ac2683db99
hexe70701dc00

992255007744 has 3520 divisors, whose sum is σ = 4553953367040. Its totient is φ = 206391214080.

The previous prime is 992255007683. The next prime is 992255007823. The reversal of 992255007744 is 447700552299.

992255007744 is a `hidden beast` number, since 9 + 9 + 2 + 25 + 500 + 77 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 26817702894 + ... + 26817702930.

It is an arithmetic number, because the mean of its divisors is an integer number (1293736752).

Almost surely, 2992255007744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 992255007744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276976683520).

992255007744 is an abundant number, since it is smaller than the sum of its proper divisors (3561698359296).

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

992255007744 is a wasteful number, since it uses less digits than its factorization.

992255007744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

Subtracting from 992255007744 its reverse (447700552299), we obtain a palindrome (544554455445).

The spelling of 992255007744 in words is "nine hundred ninety-two billion, two hundred fifty-five million, seven thousand, seven hundred forty-four".