Search a number
-
+
371271426048 = 2133210946199
BaseRepresentation
bin1010110011100011000…
…00000110000000000000
31022111022112200121021100
411121301200012000000
522040330441113143
6442320523054400
735552311023435
oct5316140060000
91274275617240
10371271426048
1113350104a5a6
125bb56071400
132901a7b8363
1413d8095bb8c
1599ce7186d3
hex5671806000

371271426048 has 168 divisors, whose sum is σ = 1082359278000. Its totient is φ = 122619101184.

The previous prime is 371271426041. The next prime is 371271426083. The reversal of 371271426048 is 840624172173.

371271426048 is a `hidden beast` number, since 3 + 7 + 1 + 27 + 14 + 2 + 604 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 371271425994 and 371271426012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (371271426041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8013253 + ... + 8059451.

It is an arithmetic number, because the mean of its divisors is an integer number (6442614750).

Almost surely, 2371271426048 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 371271426048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541179639000).

371271426048 is an abundant number, since it is smaller than the sum of its proper divisors (711087851952).

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

371271426048 is a wasteful number, since it uses less digits than its factorization.

371271426048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46340 (or 46313 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 371271426048 in words is "three hundred seventy-one billion, two hundred seventy-one million, four hundred twenty-six thousand, forty-eight".