Search a number
-
+
71883770112 = 283571143349
BaseRepresentation
bin100001011110010011…
…0110100100100000000
320212112200222212200000
41002330212310210000
52134204221120422
653004542400000
75123226651540
oct1027446644400
9225480885600
1071883770112
1128538572480
1211b21890000
136a177b7b1b
14369cc97320
151d0abb4cac
hex10bc9b4900

71883770112 has 864 divisors, whose sum is σ = 274988313600. Its totient is φ = 18184642560.

The previous prime is 71883770111. The next prime is 71883770171. The reversal of 71883770112 is 21107738817.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (71883770111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 205970514 + ... + 205970862.

Almost surely, 271883770112 is an apocalyptic number.

71883770112 is a gapful number since it is divisible by the number (72) 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 71883770112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137494156800).

71883770112 is an abundant number, since it is smaller than the sum of its proper divisors (203104543488).

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

71883770112 is a wasteful number, since it uses less digits than its factorization.

71883770112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 45.

The spelling of 71883770112 in words is "seventy-one billion, eight hundred eighty-three million, seven hundred seventy thousand, one hundred twelve".