Search a number
-
+
5190662983680 = 212325149331571
BaseRepresentation
bin100101110001000101110…
…0111111001000000000000
3200101020000020011020102100
41023202023213321000000
51140020434210434210
615012320241550400
71044004316245206
oct113421347710000
920336006136370
105190662983680
111721390a30149
126b9b9a645400
132b8628b748c5
1413d32d7a5076
159004b0e75c0
hex4b88b9f9000

5190662983680 has 624 divisors, whose sum is σ = 18199392868800. Its totient is φ = 1368332697600.

The previous prime is 5190662983661. The next prime is 5190662983691. The reversal of 5190662983680 is 863892660915.

5190662983680 is a `hidden beast` number, since 5 + 190 + 66 + 29 + 8 + 368 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 9090477795 + ... + 9090478365.

It is an arithmetic number, because the mean of its divisors is an integer number (29165693700).

Almost surely, 25190662983680 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 5190662983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9099696434400).

5190662983680 is an abundant number, since it is smaller than the sum of its proper divisors (13008729885120).

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

5190662983680 is a wasteful number, since it uses less digits than its factorization.

5190662983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 5190662983680 in words is "five trillion, one hundred ninety billion, six hundred sixty-two million, nine hundred eighty-three thousand, six hundred eighty".