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5390332680681 = 3213259210092
BaseRepresentation
bin100111001110000100011…
…0111010101100111101001
3201002022101112220210101100
41032130020313111213221
51201303400131240211
615244141252312013
71064303316542544
oct116341067254751
921068345823340
105390332680681
1117990332aa863
12730823612609
133013c9916100
14148c71a6585b
1595335574156
hex4e708dd59e9

5390332680681 has 81 divisors (see below), whose sum is σ = 8584862328549. Its totient is φ = 3257673479424.

The previous prime is 5390332680647. The next prime is 5390332680697. The reversal of 5390332680681 is 1860862330935.

It is a happy number.

The square root of 5390332680681 is 2321709.

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

5390332680681 is a `hidden beast` number, since 539 + 0 + 3 + 3 + 26 + 8 + 0 + 6 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1662668408025 + 3727664272656 = 1289445^2 + 1930716^2 .

It is not a de Polignac number, because 5390332680681 - 213 = 5390332672489 is a prime.

It is a super-2 number, since 2×53903326806812 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5390332680631) 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 80 ways as a sum of consecutive naturals, for example, 5342251905 + ... + 5342252913.

Almost surely, 25390332680681 is an apocalyptic number.

5390332680681 is the 2321709-th square number.

5390332680681 is the 1160855-th centered octagonal number.

It is an amenable number.

5390332680681 is a deficient number, since it is larger than the sum of its proper divisors (3194529647868).

5390332680681 is an equidigital number, since it uses as much as digits as its factorization.

5390332680681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 5390332680681 in words is "five trillion, three hundred ninety billion, three hundred thirty-two million, six hundred eighty thousand, six hundred eighty-one".

Divisors: 1 3 9 13 39 59 117 169 177 507 531 767 1009 1521 2301 3027 3481 6903 9081 9971 10443 13117 29913 31329 39351 45253 59531 89739 118053 135759 170521 178593 407277 511563 535779 588289 773903 1018081 1534689 1764867 2321709 3054243 3512329 5294601 6965127 9162729 10060739 10536987 13235053 30182217 31610961 39705159 45660277 60066779 90546651 119115477 136980831 172055689 180200337 410942493 516167067 540601011 593583601 780868127 1548501201 1780750803 2342604381 3543939961 5342252409 7027813143 10151285651 10631819883 30453856953 31895459649 46071219493 91361570859 138213658479 414640975437 598925853409 1796777560227 5390332680681