Search a number
-
+
4874739262848 = 273472137310111
BaseRepresentation
bin100011011101111110100…
…0110100010010110000000
3122021000112221221101020000
41012323331012202112000
51114331431222402343
614211231352120000
71012121404030500
oct106737506422600
918230487841200
104874739262848
11160a402258794
12668910396000
132948bc0196a0
1412bd1d8a9a00
1586c0a9aded3
hex46efd1a2580

4874739262848 has 960 divisors, whose sum is σ = 18424564139520. Its totient is φ = 1267908526080.

The previous prime is 4874739262847. The next prime is 4874739262891. The reversal of 4874739262848 is 8482629374784.

4874739262848 is a `hidden beast` number, since 4 + 8 + 7 + 473 + 92 + 6 + 28 + 48 = 666.

It is a super-2 number, since 2×48747392628482 (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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4874739262847) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 482117313 + ... + 482127423.

It is an arithmetic number, because the mean of its divisors is an integer number (19192254312).

Almost surely, 24874739262848 is an apocalyptic number.

4874739262848 is a gapful number since it is divisible by the number (48) 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 4874739262848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9212282069760).

4874739262848 is an abundant number, since it is smaller than the sum of its proper divisors (13549824876672).

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

4874739262848 is a wasteful number, since it uses less digits than its factorization.

4874739262848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10237 (or 10209 counting only the distinct ones).

The product of its digits is 1040449536, while the sum is 72.

The spelling of 4874739262848 in words is "four trillion, eight hundred seventy-four billion, seven hundred thirty-nine million, two hundred sixty-two thousand, eight hundred forty-eight".