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31768086713 = 1122731270571
BaseRepresentation
bin11101100101100001…
…101000100010111001
310000222222021000101012
4131211201220202321
51010030112233323
622332152203305
72203146165416
oct354541504271
9100888230335
1031768086713
1112522290820
1261a7099535
132cc379035c
1417751b510d
15c5de7b678
hex7658688b9

31768086713 has 8 divisors (see below), whose sum is σ = 34671368736. Its totient is φ = 28867350400.

The previous prime is 31768086683. The next prime is 31768086751.

31768086713 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31768086713 is a prime.

It is a super-2 number, since 2×317680867132 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31768086313) 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 7 ways as a sum of consecutive naturals, for example, 610283 + ... + 660288.

It is an arithmetic number, because the mean of its divisors is an integer number (4333921092).

Almost surely, 231768086713 is an apocalyptic number.

It is an amenable number.

31768086713 is a deficient number, since it is larger than the sum of its proper divisors (2903282023).

31768086713 is a wasteful number, since it uses less digits than its factorization.

31768086713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272855.

The product of its (nonzero) digits is 1016064, while the sum is 50.

The spelling of 31768086713 in words is "thirty-one billion, seven hundred sixty-eight million, eighty-six thousand, seven hundred thirteen".

Divisors: 1 11 2273 25003 1270571 13976281 2888007883 31768086713