Search a number
-
+
4983307536312 = 23327241125932587
BaseRepresentation
bin100100010000100010001…
…0001101000011110111000
3122122101210021022010000100
41020201010101220132320
51123121303212130222
614333144435035400
71023014002106220
oct110410421503670
918571707263010
104983307536312
11165145520a526
1268596b73bb60
132a1c01a0a011
1413329c87d080
15899620464ac
hex488444687b8

4983307536312 has 192 divisors, whose sum is σ = 15501303417600. Its totient is φ = 1416724577280.

The previous prime is 4983307536253. The next prime is 4983307536329. The reversal of 4983307536312 is 2136357033894.

4983307536312 is a `hidden beast` number, since 4 + 98 + 3 + 3 + 0 + 7 + 536 + 3 + 12 = 666.

It is a super-2 number, since 2×49833075363122 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152906883 + ... + 152939469.

It is an arithmetic number, because the mean of its divisors is an integer number (80735955300).

It is a 1-persistent number, because it is pandigital, but 2⋅4983307536312 = 9966615072624 is not.

Almost surely, 24983307536312 is an apocalyptic number.

4983307536312 is a gapful number since it is divisible by the number (42) 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 4983307536312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7750651708800).

4983307536312 is an abundant number, since it is smaller than the sum of its proper divisors (10517995881288).

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

4983307536312 is a wasteful number, since it uses less digits than its factorization.

4983307536312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34106 (or 34099 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 4983307536312 in words is "four trillion, nine hundred eighty-three billion, three hundred seven million, five hundred thirty-six thousand, three hundred twelve".