Search a number
-
+
2197933406592 = 273721131509673
BaseRepresentation
bin11111111110111111000…
…010100011100110000000
321210010020202110201020220
4133332333002203212000
5242002331423002332
64401414444503040
7314536560462300
oct37767702434600
97703222421226
102197933406592
11778158120850
122b5b8354aa80
1312c3586910c1
14785482dd600
153c28ecd7d2c
hex1ffbf0a3980

2197933406592 has 768 divisors, whose sum is σ = 7674256742400. Its totient is φ = 550571212800.

The previous prime is 2197933406551. The next prime is 2197933406611. The reversal of 2197933406592 is 2956043397912.

It is a super-2 number, since 2×21979334065922 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3265873968 + ... + 3265874640.

It is an arithmetic number, because the mean of its divisors is an integer number (9992521800).

Almost surely, 22197933406592 is an apocalyptic number.

2197933406592 is a gapful number since it is divisible by the number (22) 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 2197933406592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3837128371200).

2197933406592 is an abundant number, since it is smaller than the sum of its proper divisors (5476323335808).

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

2197933406592 is a wasteful number, since it uses less digits than its factorization.

2197933406592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 60.

The spelling of 2197933406592 in words is "two trillion, one hundred ninety-seven billion, nine hundred thirty-three million, four hundred six thousand, five hundred ninety-two".