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31605906969 = 33713229149229
BaseRepresentation
bin11101011011110110…
…111101111000011001
310000120200002102121000
4131123312331320121
51004212103010334
622304120135213
72166136530240
oct353366757031
9100520072530
1031605906969
111244978a77a
126160907509
132c98cb8700
14175b839957
15c4eae3299
hex75bdbde19

31605906969 has 192 divisors, whose sum is σ = 60609600000. Its totient is φ = 15918529536.

The previous prime is 31605906929. The next prime is 31605906977. The reversal of 31605906969 is 96960950613.

It is a happy number.

It is not a de Polignac number, because 31605906969 - 29 = 31605906457 is a prime.

It is a super-2 number, since 2×316059069692 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31605906929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 138016947 + ... + 138017175.

It is an arithmetic number, because the mean of its divisors is an integer number (315675000).

Almost surely, 231605906969 is an apocalyptic number.

31605906969 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

31605906969 is a deficient number, since it is larger than the sum of its proper divisors (29003693031).

31605906969 is a wasteful number, since it uses less digits than its factorization.

31605906969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The spelling of 31605906969 in words is "thirty-one billion, six hundred five million, nine hundred six thousand, nine hundred sixty-nine".