Search a number
-
+
9314291761152 = 2143753736997
BaseRepresentation
bin1000011110001010011100…
…0011010100000000000000
31012222102211000012112201120
42013202213003110000000
52210101132142324102
631450532045432240
71650635555443020
oct207424703240000
935872730175646
109314291761152
112a71194970084
12106520956b680
135274458a21b1
14242b57d6ba80
151124459016bc
hex878a70d4000

9314291761152 has 480 divisors, whose sum is σ = 29321492804352. Its totient is φ = 2574879031296.

The previous prime is 9314291761133. The next prime is 9314291761157. The reversal of 9314291761152 is 2511671924139.

It is a junction number, because it is equal to n+sod(n) for n = 9314291761095 and 9314291761104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9314291761157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1331180118 + ... + 1331187114.

Almost surely, 29314291761152 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 9314291761152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14660746402176).

9314291761152 is an abundant number, since it is smaller than the sum of its proper divisors (20007201043200).

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

9314291761152 is an equidigital number, since it uses as much as digits as its factorization.

9314291761152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7161 (or 7135 counting only the distinct ones).

The product of its digits is 816480, while the sum is 51.

The spelling of 9314291761152 in words is "nine trillion, three hundred fourteen billion, two hundred ninety-one million, seven hundred sixty-one thousand, one hundred fifty-two".