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71372283372 = 223213499305621
BaseRepresentation
bin100001001111000011…
…1101001110111101100
320211020001112122202200
41002132013221313230
52132132301031442
652442111421500
75104446253545
oct1023607516754
9224201478680
1071372283372
11282a587a965
12119ba524890
136965840550
143650d914cc
151ccad2d34c
hex109e1e9dec

71372283372 has 72 divisors (see below), whose sum is σ = 194681214000. Its totient is φ = 21916621440.

The previous prime is 71372283343. The next prime is 71372283377. The reversal of 71372283372 is 27338227317.

It is not an unprimeable number, because it can be changed into a prime (71372283377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80722 + ... + 386342.

It is an arithmetic number, because the mean of its divisors is an integer number (2703905750).

Almost surely, 271372283372 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 71372283372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97340607000).

71372283372 is an abundant number, since it is smaller than the sum of its proper divisors (123308930628).

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

71372283372 is a wasteful number, since it uses less digits than its factorization.

71372283372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306143 (or 306138 counting only the distinct ones).

The product of its digits is 592704, while the sum is 45.

The spelling of 71372283372 in words is "seventy-one billion, three hundred seventy-two million, two hundred eighty-three thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 499 998 1497 1996 2994 4491 5988 6487 8982 12974 17964 19461 25948 38922 58383 77844 116766 233532 305621 611242 916863 1222484 1833726 2750589 3667452 3973073 5501178 7946146 11002356 11919219 15892292 23838438 35757657 47676876 71515314 143030628 152504879 305009758 457514637 610019516 915029274 1372543911 1830058548 1982563427 2745087822 3965126854 5490175644 5947690281 7930253708 11895380562 17843070843 23790761124 35686141686 71372283372