Search a number
-
+
4980994836480 = 211335131385827
BaseRepresentation
bin100100001111011101001…
…1011011000100000000000
3122122011211002112210021000
41020132322123120200000
51123102034134231410
614332123141532000
71022602460352135
oct110367233304000
918564732483230
104980994836480
111650478804953
12685425114000
132a1923839490
1413311d66658c
1589878eb6dc0
hex487ba6d8800

4980994836480 has 384 divisors, whose sum is σ = 19067884617600. Its totient is φ = 1226090151936.

The previous prime is 4980994836469. The next prime is 4980994836481. The reversal of 4980994836480 is 846384990894.

4980994836480 is a `hidden beast` number, since 4 + 9 + 8 + 0 + 9 + 9 + 483 + 64 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×49809948364802 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4980994836399 and 4980994836408.

It is not an unprimeable number, because it can be changed into a prime (4980994836481) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2901327 + ... + 4287153.

It is an arithmetic number, because the mean of its divisors is an integer number (49655949525).

Almost surely, 24980994836480 is an apocalyptic number.

4980994836480 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 4980994836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9533942308800).

4980994836480 is an abundant number, since it is smaller than the sum of its proper divisors (14086889781120).

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

4980994836480 is a wasteful number, since it uses less digits than its factorization.

4980994836480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385876 (or 1385850 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 72.

The spelling of 4980994836480 in words is "four trillion, nine hundred eighty billion, nine hundred ninety-four million, eight hundred thirty-six thousand, four hundred eighty".