Search a number
-
+
127796832384 = 27313315231579
BaseRepresentation
bin111011100000101001…
…0001110100010000000
3110012212101021201211020
41313001102032202000
54043211442114014
6134413053345440
712142632103104
oct1670122164200
9405771251736
10127796832384
114a21aa86751
1220926a98280
13c088604460
146284a45904
1534ce71d1a9
hex1dc148e880

127796832384 has 256 divisors, whose sum is σ = 378326323200. Its totient is φ = 37956833280.

The previous prime is 127796832343. The next prime is 127796832407. The reversal of 127796832384 is 483238697721.

It is a happy number.

It is a super-2 number, since 2×1277968323842 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80934507 + ... + 80936085.

It is an arithmetic number, because the mean of its divisors is an integer number (1477837200).

Almost surely, 2127796832384 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 127796832384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189163161600).

127796832384 is an abundant number, since it is smaller than the sum of its proper divisors (250529490816).

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

127796832384 is a wasteful number, since it uses less digits than its factorization.

127796832384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2151 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 60.

The spelling of 127796832384 in words is "one hundred twenty-seven billion, seven hundred ninety-six million, eight hundred thirty-two thousand, three hundred eighty-four".