Search a number
-
+
9163131475680 = 25335713139916661
BaseRepresentation
bin1000010101010111010100…
…1100100101011011100000
31012102222122101110102102000
42011111311030211123200
52200112043124210210
631253252352124000
71634004640302210
oct205256514453340
935388571412360
109163131475680
112a13075921316
12103ba62236600
13516105b251b0
142396d8468240
1510d54a02dac0
hex855753256e0

9163131475680 has 768 divisors, whose sum is σ = 39502536192000. Its totient is φ = 1931822161920.

The previous prime is 9163131475657. The next prime is 9163131475697. The reversal of 9163131475680 is 865741313619.

9163131475680 is a `hidden beast` number, since 9 + 1 + 6 + 3 + 1 + 31 + 47 + 568 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 549966550 + ... + 549983210.

It is an arithmetic number, because the mean of its divisors is an integer number (51435594000).

Almost surely, 29163131475680 is an apocalyptic number.

9163131475680 is a gapful number since it is divisible by the number (90) 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 9163131475680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19751268096000).

9163131475680 is an abundant number, since it is smaller than the sum of its proper divisors (30339404716320).

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

9163131475680 is a wasteful number, since it uses less digits than its factorization.

9163131475680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18104 (or 18090 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 9163131475680 in words is "nine trillion, one hundred sixty-three billion, one hundred thirty-one million, four hundred seventy-five thousand, six hundred eighty".