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131464895888 = 2429653433889
BaseRepresentation
bin111101001101111101…
…0110001110110010000
3110120100000101200000002
41322123322301312100
54123220003132023
6140221044545132
712332552114564
oct1723372616620
9416300350002
10131464895888
1150832563097
122158b3b21a8
13c521525831
146511c716a4
153646776b28
hex1e9beb1d90

131464895888 has 40 divisors (see below), whose sum is σ = 263900575800. Its totient is φ = 63368474624.

The previous prime is 131464895879. The next prime is 131464895899. The reversal of 131464895888 is 888598464131.

It can be written as a sum of positive squares in 4 ways, for example, as 14235353344 + 117229542544 = 119312^2 + 342388^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86048 + ... + 519936.

It is an arithmetic number, because the mean of its divisors is an integer number (6597514395).

Almost surely, 2131464895888 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 131464895888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131950287900).

131464895888 is an abundant number, since it is smaller than the sum of its proper divisors (132435679912).

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

131464895888 is a wasteful number, since it uses less digits than its factorization.

131464895888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434579 (or 434573 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 65.

The spelling of 131464895888 in words is "one hundred thirty-one billion, four hundred sixty-four million, eight hundred ninety-five thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 29 58 116 232 464 653 1306 2612 5224 10448 18937 37874 75748 151496 302992 433889 867778 1735556 3471112 6942224 12582781 25165562 50331124 100662248 201324496 283329517 566659034 1133318068 2266636136 4533272272 8216555993 16433111986 32866223972 65732447944 131464895888