Search a number
-
+
2194739527680 = 215325719331
BaseRepresentation
bin11111111100000000101…
…010111000000000000000
321202211000011121212001100
4133330000222320000000
5241424311304341210
64400125512534400
7314364456115050
oct37740052700000
97684004555040
102194739527680
117768692792a7
122b54319b1400
1312bc69a8671b
1478324069560
153c1546e85c0
hex1ff00ab8000

2194739527680 has 1536 divisors, whose sum is σ = 9474284851200. Its totient is φ = 459921162240.

The previous prime is 2194739527679. The next prime is 2194739527681. The reversal of 2194739527680 is 867259374912.

2194739527680 is a `hidden beast` number, since 2 + 1 + 9 + 47 + 3 + 9 + 527 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2194739527679) and next prime (2194739527681).

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×21947395276802 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2194739527681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70798049265 + ... + 70798049295.

It is an arithmetic number, because the mean of its divisors is an integer number (6168154200).

It is a 1-persistent number, because it is pandigital, but 2⋅2194739527680 = 4389479055360 is not.

Almost surely, 22194739527680 is an apocalyptic number.

2194739527680 is a gapful number since it is divisible by the number (20) 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 2194739527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4737142425600).

2194739527680 is an abundant number, since it is smaller than the sum of its proper divisors (7279545323520).

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

2194739527680 is an frugal number, since it uses more digits than its factorization.

2194739527680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 2194739527680 in words is "two trillion, one hundred ninety-four billion, seven hundred thirty-nine million, five hundred twenty-seven thousand, six hundred eighty".