Search a number
-
+
4991247663360 = 283571958716649
BaseRepresentation
bin100100010100001110110…
…0010110100000100000000
3122200011021122001100122220
41020220131202310010000
51123234033400211420
614340540355331040
71023414525061530
oct110503542640400
918604248040586
104991247663360
11165485a2034a2
126874068b0a80
132a2898a18c4a
141338131dd4c0
1589c79166840
hex48a1d8b4100

4991247663360 has 576 divisors, whose sum is σ = 19210722048000. Its totient is φ = 1078905470976.

The previous prime is 4991247663349. The next prime is 4991247663473. The reversal of 4991247663360 is 633667421994.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 4991247663294 and 4991247663303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 299784316 + ... + 299800964.

It is an arithmetic number, because the mean of its divisors is an integer number (33351948000).

Almost surely, 24991247663360 is an apocalyptic number.

4991247663360 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 4991247663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9605361024000).

4991247663360 is an abundant number, since it is smaller than the sum of its proper divisors (14219474384640).

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

4991247663360 is a wasteful number, since it uses less digits than its factorization.

4991247663360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17286 (or 17272 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 60.

The spelling of 4991247663360 in words is "four trillion, nine hundred ninety-one billion, two hundred forty-seven million, six hundred sixty-three thousand, three hundred sixty".