Search a number
-
+
4996582640640 = 21035517337701
BaseRepresentation
bin100100010110101101110…
…0010001000110000000000
3122200200001102202021200000
41020231123202020300000
51123331000124000030
614343222014400000
71023663655454253
oct110553342106000
918620042667600
104996582640640
111657047704928
12688455500000
132a32390a0c36
14133b9b97b09a
1589e8c6da860
hex48b5b888c00

4996582640640 has 1056 divisors, whose sum is σ = 19093994547264. Its totient is φ = 1248539443200.

The previous prime is 4996582640597. The next prime is 4996582640641. The reversal of 4996582640640 is 460462856994.

4996582640640 is a `hidden beast` number, since 4 + 9 + 9 + 6 + 582 + 6 + 4 + 0 + 6 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (4996582640641) 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, 7127792290 + ... + 7127792990.

Almost surely, 24996582640640 is an apocalyptic number.

4996582640640 is a gapful number since it is divisible by the number (40) 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 4996582640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9546997273632).

4996582640640 is an abundant number, since it is smaller than the sum of its proper divisors (14097411906624).

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

4996582640640 is a wasteful number, since it uses less digits than its factorization.

4996582640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 4996582640640 in words is "four trillion, nine hundred ninety-six billion, five hundred eighty-two million, six hundred forty thousand, six hundred forty".