Search a number
-
+
8025046332240 = 2435726471054717
BaseRepresentation
bin111010011000111101000…
…0010010011001101010000
31001102012001021110220120010
41310301322002103031100
52022440243330112430
625022353321514520
71455535062221100
oct164617202231520
931365037426503
108025046332240
112614448495373
12a97383942a40
134629b29004b2
141da5b2c47200
15ddb3ac3acb0
hex74c7a093350

8025046332240 has 240 divisors, whose sum is σ = 28984055651712. Its totient is φ = 1831459488768.

The previous prime is 8025046332227. The next prime is 8025046332301. The reversal of 8025046332240 is 422336405208.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7081362 + ... + 8136078.

Almost surely, 28025046332240 is an apocalyptic number.

8025046332240 is a gapful number since it is divisible by the number (80) 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 8025046332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14492027825856).

8025046332240 is an abundant number, since it is smaller than the sum of its proper divisors (20959009319472).

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

8025046332240 is a wasteful number, since it uses less digits than its factorization.

8025046332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055394 (or 1055381 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 8025046332240 in words is "eight trillion, twenty-five billion, forty-six million, three hundred thirty-two thousand, two hundred forty".