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71306006000 = 2453331107713
BaseRepresentation
bin100001001101000101…
…0110100110111110000
320211001102211102022012
41002122022310313300
52132013314143000
652431343102052
75103013023215
oct1023212646760
9224042742265
1071306006000
1128271421779
12119a02a1928
136954ba6278
14364625bb0c
151cc50da735
hex109a2b4df0

71306006000 has 80 divisors (see below), whose sum is σ = 172940428128. Its totient is φ = 28435968000.

The previous prime is 71306005999. The next prime is 71306006021. The reversal of 71306006000 is 60060317.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 608144 + ... + 715856.

Almost surely, 271306006000 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 71306006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86470214064).

71306006000 is an abundant number, since it is smaller than the sum of its proper divisors (101634422128).

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

71306006000 is a wasteful number, since it uses less digits than its factorization.

71306006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108067 (or 108051 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

Adding to 71306006000 its reverse (60060317), we get a palindrome (71366066317).

The spelling of 71306006000 in words is "seventy-one billion, three hundred six million, six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 331 400 500 662 1000 1324 1655 2000 2648 3310 5296 6620 8275 13240 16550 26480 33100 41375 66200 82750 107713 132400 165500 215426 331000 430852 538565 662000 861704 1077130 1723408 2154260 2692825 4308520 5385650 8617040 10771300 13464125 21542600 26928250 35653003 43085200 53856500 71306006 107713000 142612012 178265015 215426000 285224024 356530030 570448048 713060060 891325075 1426120120 1782650150 2852240240 3565300300 4456625375 7130600600 8913250750 14261201200 17826501500 35653003000 71306006000