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31386221064 = 233311311014219
BaseRepresentation
bin11101001110110000…
…111011101000001000
310000000100201020012000
4131032300323220020
51003234333033224
622230231351000
72160531322452
oct351660735010
9100010636160
1031386221064
1112346781480
1260bb222460
132c6262ac53
14173a5b12d2
15c3a69b0c9
hex74ec3ba08

31386221064 has 256 divisors, whose sum is σ = 99173376000. Its totient is φ = 9110880000.

The previous prime is 31386221063. The next prime is 31386221077. The reversal of 31386221064 is 46012268313.

31386221064 is a `hidden beast` number, since 3 + 1 + 386 + 2 + 210 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (31386221063) 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 63 ways as a sum of consecutive naturals, for example, 7437147 + ... + 7441365.

It is an arithmetic number, because the mean of its divisors is an integer number (387396000).

Almost surely, 231386221064 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 31386221064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49586688000).

31386221064 is an abundant number, since it is smaller than the sum of its proper divisors (67787154936).

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

31386221064 is a wasteful number, since it uses less digits than its factorization.

31386221064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377 (or 4367 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 31386221064 its reverse (46012268313), we get a palindrome (77398489377).

The spelling of 31386221064 in words is "thirty-one billion, three hundred eighty-six million, two hundred twenty-one thousand, sixty-four".