Search a number
-
+
71539130880 = 293357199743
BaseRepresentation
bin100001010100000010…
…0001000001000000000
320211122200111101112000
41002220010020020000
52133003004142010
652510431504000
75111543402460
oct1025004101000
9224580441460
1071539130880
1128380a79968
1211a46388000
13699128a999
1436691c3ba0
151cda7d97c0
hex10a8108200

71539130880 has 640 divisors, whose sum is σ = 292267008000. Its totient is φ = 16247734272.

The previous prime is 71539130879. The next prime is 71539130881. The reversal of 71539130880 is 8803193517.

71539130880 is a `hidden beast` number, since 7 + 1 + 539 + 1 + 30 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (71539130879) and next prime (71539130881).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (71539130881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96283789 + ... + 96284531.

It is an arithmetic number, because the mean of its divisors is an integer number (456667200).

Almost surely, 271539130880 is an apocalyptic number.

71539130880 is a gapful number since it is divisible by the number (70) 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 71539130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146133504000).

71539130880 is an abundant number, since it is smaller than the sum of its proper divisors (220727877120).

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

71539130880 is a wasteful number, since it uses less digits than its factorization.

71539130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 71539130880 in words is "seventy-one billion, five hundred thirty-nine million, one hundred thirty thousand, eight hundred eighty".