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9931214812689 = 32412256212
BaseRepresentation
bin1001000010000100101010…
…0001111111011000010001
31022011102012102202200200100
42100201022201333120101
52300203111443001224
633042200451443013
72043335522035512
oct220411241773021
938142172680610
109931214812689
113189893945785
12114489b8b6469
135706815c0661
1426495d9c0a09
151235012e6ac9
hex9084a87f611

9931214812689 has 27 divisors (see below), whose sum is σ = 14704075829937. Its totient is φ = 6459074596800.

The previous prime is 9931214812639. The next prime is 9931214812703. The reversal of 9931214812689 is 9862184121399.

The square root of 9931214812689 is 3151383.

It is a perfect power (a square), and thus also a powerful number.

9931214812689 is a `hidden beast` number, since 9 + 9 + 3 + 121 + 481 + 26 + 8 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6220120796289 + 3711094016400 = 2494017^2 + 1926420^2 .

It is not a de Polignac number, because 9931214812689 - 211 = 9931214810641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9931214812639) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 387607299 + ... + 387632919.

Almost surely, 29931214812689 is an apocalyptic number.

9931214812689 is the 3151383-rd square number.

9931214812689 is the 1575692-nd centered octagonal number.

It is an amenable number.

9931214812689 is a deficient number, since it is larger than the sum of its proper divisors (4772861017248).

9931214812689 is an frugal number, since it uses more digits than its factorization.

9931214812689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51330 (or 25665 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 63.

The spelling of 9931214812689 in words is "nine trillion, nine hundred thirty-one billion, two hundred fourteen million, eight hundred twelve thousand, six hundred eighty-nine".

Divisors: 1 3 9 41 123 369 1681 5043 15129 25621 76863 230589 1050461 3151383 9454149 43068901 129206703 387620109 656435641 1969306923 5907920769 26913861281 80741583843 242224751529 1103468312521 3310404937563 9931214812689