Search a number
-
+
2083361594256 = 2433196712892939
BaseRepresentation
bin11110010100010010000…
…001110001101110010000
321101011112001101121101000
4132110102001301232100
5233113211032004011
64233025541142000
7303342433236015
oct36242201615620
97334461347330
102083361594256
11733604341438
122979296ba900
131215c9c65cc7
1472b99c7970c
15392d6669356
hex1e512071b90

2083361594256 has 320 divisors, whose sum is σ = 6395840640000. Its totient is φ = 647361082368.

The previous prime is 2083361594239. The next prime is 2083361594267. The reversal of 2083361594256 is 6524951633802.

It is a happy number.

2083361594256 is a `hidden beast` number, since 2 + 0 + 8 + 336 + 1 + 59 + 4 + 256 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 708866035 + ... + 708868973.

It is an arithmetic number, because the mean of its divisors is an integer number (19987002000).

Almost surely, 22083361594256 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 2083361594256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197920320000).

2083361594256 is an abundant number, since it is smaller than the sum of its proper divisors (4312479045744).

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

2083361594256 is a wasteful number, since it uses less digits than its factorization.

2083361594256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4331 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 2083361594256 in words is "two trillion, eighty-three billion, three hundred sixty-one million, five hundred ninety-four thousand, two hundred fifty-six".