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31296086649 = 3210925412
BaseRepresentation
bin11101001001011001…
…000110001001111001
32222210002002221000100
4131021121012021321
51003043244233044
622213251430013
72155355230062
oct351131061171
988702087010
1031296086649
11122aa909123
126094bb5309
132c49a5ca89
14172c62b569
15c327e4869
hex749646279

31296086649 has 27 divisors (see below), whose sum is σ = 45708480909. Its totient is φ = 20634432480.

The previous prime is 31296086639. The next prime is 31296086651. The reversal of 31296086649 is 94668069213.

The square root of 31296086649 is 176907.

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

31296086649 is a `hidden beast` number, since 3 + 1 + 29 + 608 + 6 + 6 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 306005049 + 30990081600 = 17493^2 + 176040^2 .

It is not a de Polignac number, because 31296086649 - 29 = 31296086137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31296086595 and 31296086604.

It is not an unprimeable number, because it can be changed into a prime (31296086639) 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 26 ways as a sum of consecutive naturals, for example, 57848319 + ... + 57848859.

Almost surely, 231296086649 is an apocalyptic number.

31296086649 is the 176907-th square number.

31296086649 is the 88454-th centered octagonal number.

It is an amenable number.

31296086649 is a deficient number, since it is larger than the sum of its proper divisors (14412394260).

31296086649 is an frugal number, since it uses more digits than its factorization.

31296086649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 31296086649 in words is "thirty-one billion, two hundred ninety-six million, eighty-six thousand, six hundred forty-nine".

Divisors: 1 3 9 109 327 541 981 1623 4869 11881 35643 58969 106929 176907 292681 530721 878043 2634129 6427621 19282863 31902229 57848589 95706687 287120061 3477342961 10432028883 31296086649