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71999378929 = 151217772
BaseRepresentation
bin100001100001101111…
…1110101010111110001
320212211202112102011001
41003003133311113301
52134423320111204
653024232322001
75126132423512
oct1030337652761
9225752472131
1071999378929
1128597855055
1211b54543301
136a357350ca
1436b038ca09
151d15dee4a4
hex10c37f55f1

71999378929 has 9 divisors (see below), whose sum is σ = 72520164171. Its totient is φ = 71482312800.

The previous prime is 71999378921. The next prime is 71999379071. The reversal of 71999378929 is 92987399917.

The square root of 71999378929 is 268327.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 36486730225 + 35512648704 = 191015^2 + 188448^2 .

It is not a de Polignac number, because 71999378929 - 23 = 71999378921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71999378921) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40516489 + ... + 40518265.

It is an arithmetic number, because the mean of its divisors is an integer number (8057796019).

Almost surely, 271999378929 is an apocalyptic number.

71999378929 is the 268327-th square number.

71999378929 is the 134164-th centered octagonal number.

It is an amenable number.

71999378929 is a deficient number, since it is larger than the sum of its proper divisors (520785242).

71999378929 is an frugal number, since it uses more digits than its factorization.

71999378929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3856 (or 1928 counting only the distinct ones).

The product of its digits is 138883248, while the sum is 73.

The spelling of 71999378929 in words is "seventy-one billion, nine hundred ninety-nine million, three hundred seventy-eight thousand, nine hundred twenty-nine".

Divisors: 1 151 1777 22801 268327 3157729 40517377 476817079 71999378929