Search a number
-
+
31284759376 = 24131273473413
BaseRepresentation
bin11101001000101101…
…111000101101010000
32222202021210102220201
4131020231320231100
51003032344300001
622212204544544
72155160032003
oct351055705520
988667712821
1031284759376
11122a4481842
126091252154
132c475c5050
14172ad1d53a
15c31808501
hex748b78b50

31284759376 has 80 divisors (see below), whose sum is σ = 65999775744. Its totient is φ = 14279956992.

The previous prime is 31284759353. The next prime is 31284759379. The reversal of 31284759376 is 67395748213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31284759379) by changing a digit.

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, 9164646 + ... + 9168058.

Almost surely, 231284759376 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 31284759376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32999887872).

31284759376 is an abundant number, since it is smaller than the sum of its proper divisors (34715016368).

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

31284759376 is a wasteful number, since it uses less digits than its factorization.

31284759376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3908 (or 3902 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 55.

The spelling of 31284759376 in words is "thirty-one billion, two hundred eighty-four million, seven hundred fifty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 52 104 127 208 254 347 508 694 1016 1388 1651 2032 2776 3302 3413 4511 5552 6604 6826 9022 13208 13652 18044 26416 27304 36088 44069 44369 54608 72176 88138 88738 176276 177476 352552 354952 433451 572897 705104 709904 866902 1145794 1184311 1733804 2291588 2368622 3467608 4583176 4737244 5634863 6935216 9166352 9474488 11269726 15396043 18948976 22539452 30792086 45078904 61584172 90157808 123168344 150407497 246336688 300814994 601629988 1203259976 1955297461 2406519952 3910594922 7821189844 15642379688 31284759376