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116648937288477 = 321121132182143441
BaseRepresentation
bin11010100001011101110010…
…011110000111001100011101
3120022000112022000002012222100
4122201131302132013030131
5110242134010421212402
61052031440525035313
733366415260131346
oct3241356236071435
9508015260065870
10116648937288477
113419359a082300
12110bb4190b5b39
135011c41b05089
1420b3ba55110cd
15d7448e94071c
hex6a177278731d

116648937288477 has 72 divisors (see below), whose sum is σ = 186854777908344. Its totient is φ = 70065870336000.

The previous prime is 116648937288439. The next prime is 116648937288539. The reversal of 116648937288477 is 774882739846611.

116648937288477 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 489 + 37 + 28 + 84 + 7 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91413103716 + 116557524184761 = 302346^2 + 10796181^2 .

It is not a de Polignac number, because 116648937288477 - 214 = 116648937272093 is a prime.

It is a super-2 number, since 2×1166489372884772 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116648937288396 and 116648937288405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116648937288407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2685205077 + ... + 2685248517.

It is an arithmetic number, because the mean of its divisors is an integer number (2595205248727).

Almost surely, 2116648937288477 is an apocalyptic number.

It is an amenable number.

116648937288477 is a deficient number, since it is larger than the sum of its proper divisors (70205840619867).

116648937288477 is a wasteful number, since it uses less digits than its factorization.

116648937288477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65403 (or 65389 counting only the distinct ones).

The product of its digits is 5462360064, while the sum is 81.

The spelling of 116648937288477 in words is "one hundred sixteen trillion, six hundred forty-eight billion, nine hundred thirty-seven million, two hundred eighty-eight thousand, four hundred seventy-seven".

Divisors: 1 3 9 11 33 99 113 121 339 363 1017 1089 1243 3729 11187 13673 21821 41019 43441 65463 123057 130323 196389 240031 390969 477851 720093 1433553 2160279 2465773 2640341 4300659 4908833 5256361 7397319 7921023 14726499 15769083 22191957 23763069 27123503 44179497 47307249 53997163 81370509 161991489 244111527 298358533 485974467 593968793 895075599 947926061 1781906379 2685226797 2843778183 5345719137 8531334549 10427186671 31281560013 93844680039 107115644893 114699053381 321346934679 344097160143 964040804037 1032291480429 1178272093823 3534816281469 10604448844407 12960993032053 38882979096159 116648937288477