Search a number
-
+
71276330880 = 2732531399173
BaseRepresentation
bin100001001100001100…
…1100111111110000000
320210222100222202200200
41002120121213332000
52131433220042010
652424403045200
75102202546636
oct1023031477600
9223870882620
1071276330880
11282566a3387
1211992370800
13694b9b6121
143642335356
151cc26c7cc0
hex1098667f80

71276330880 has 192 divisors, whose sum is σ = 254066267520. Its totient is φ = 18393845760.

The previous prime is 71276330821. The next prime is 71276330963. The reversal of 71276330880 is 8803367217.

71276330880 is a `hidden beast` number, since 7 + 1 + 2 + 7 + 633 + 0 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21027 + ... + 378146.

It is an arithmetic number, because the mean of its divisors is an integer number (1323261810).

Almost surely, 271276330880 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 71276330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127033133760).

71276330880 is an abundant number, since it is smaller than the sum of its proper divisors (182789936640).

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

71276330880 is a wasteful number, since it uses less digits than its factorization.

71276330880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399229 (or 399214 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 71276330880 in words is "seventy-one billion, two hundred seventy-six million, three hundred thirty thousand, eight hundred eighty".