Search a number
-
+
8000956895232 = 21237684113597
BaseRepresentation
bin111010001101101111000…
…1100011001000000000000
31001022212212102221201100110
41310123132030121000000
52022041424431121412
625003331105351320
71454023112331240
oct164333614310000
931285772851313
108000956895232
112605206645844
12a92780338540
13460643c1b562
141d93697a9b20
15dd1cae7ed3c
hex746de319000

8000956895232 has 208 divisors, whose sum is σ = 24386249393792. Its totient is φ = 2285485424640.

The previous prime is 8000956895161. The next prime is 8000956895263. The reversal of 8000956895232 is 2325986590008.

It is a super-2 number, since 2×80009568952322 (a number of 27 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 588428658 + ... + 588442254.

It is an arithmetic number, because the mean of its divisors is an integer number (117241583624).

Almost surely, 28000956895232 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 8000956895232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12193124696896).

8000956895232 is an abundant number, since it is smaller than the sum of its proper divisors (16385292498560).

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

8000956895232 is a wasteful number, since it uses less digits than its factorization.

8000956895232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20472 (or 20450 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 57.

The spelling of 8000956895232 in words is "eight trillion, nine hundred fifty-six million, eight hundred ninety-five thousand, two hundred thirty-two".