Search a number
-
+
5146657947648 = 21935729199
BaseRepresentation
bin100101011100100110010…
…1110000000000000000000
3200020000102102220210100000
41022321030232000000000
51133310323413311043
614540201513200000
71040555660514420
oct112711456000000
920200372823300
105146657947648
11170475a269278
126b1559400000
132b4435129649
1413b157332480
158dd22be32d3
hex4ae4cb80000

5146657947648 has 960 divisors, whose sum is σ = 18320702400000. Its totient is φ = 1412633198592.

The previous prime is 5146657947631. The next prime is 5146657947649. The reversal of 5146657947648 is 8467497566415.

5146657947648 is a `hidden beast` number, since 5 + 1 + 4 + 6 + 6 + 579 + 4 + 7 + 6 + 48 = 666.

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

Its product of digits (1219276800) is a multiple of the sum of its prime divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5146657947649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25862602653 + ... + 25862602851.

It is an arithmetic number, because the mean of its divisors is an integer number (19084065000).

Almost surely, 25146657947648 is an apocalyptic number.

5146657947648 is a gapful number since it is divisible by the number (58) 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 5146657947648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9160351200000).

5146657947648 is an abundant number, since it is smaller than the sum of its proper divisors (13174044452352).

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

5146657947648 is an frugal number, since it uses more digits than its factorization.

5146657947648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 240 counting only the distinct ones).

The product of its digits is 1219276800, while the sum is 72.

The spelling of 5146657947648 in words is "five trillion, one hundred forty-six billion, six hundred fifty-seven million, nine hundred forty-seven thousand, six hundred forty-eight".