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10693834921 = 72112172792
BaseRepresentation
bin10011111010110011…
…01111100010101001
31000121021100002201001
421331121233202221
5133400110204141
64525045555001
7526001045200
oct117531574251
930537302631
1010693834921
114598433500
1220a5415a61
13101567b693
14736374237
15428c63a31
hex27d66f8a9

10693834921 has 81 divisors (see below), whose sum is σ = 14711286807. Its totient is φ = 7743415680.

The previous prime is 10693834913. The next prime is 10693834939. The reversal of 10693834921 is 12943839601.

It is a happy number.

The square root of 10693834921 is 103411.

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

It can be written as a sum of positive squares in only one way, i.e., 8325650025 + 2368184896 = 91245^2 + 48664^2 .

It is not a de Polignac number, because 10693834921 - 23 = 10693834913 is a prime.

It is a super-2 number, since 2×106938349212 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10693834621) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 135364960 + ... + 135365038.

Almost surely, 210693834921 is an apocalyptic number.

10693834921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10693834921 is the 103411-st square number.

10693834921 is the 51706-th centered octagonal number.

It is an amenable number.

10693834921 is a deficient number, since it is larger than the sum of its proper divisors (4017451886).

10693834921 is an equidigital number, since it uses as much as digits as its factorization.

10693834921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The spelling of 10693834921 in words is "ten billion, six hundred ninety-three million, eight hundred thirty-four thousand, nine hundred twenty-one".

Divisors: 1 7 11 17 49 77 79 119 121 187 289 539 553 833 847 869 1309 1343 2023 2057 3179 3871 5929 6083 6241 9163 9401 9559 14161 14399 14773 22253 22831 34969 42581 43687 65807 66913 68651 100793 103411 106097 155771 159817 162503 244783 251141 305809 468391 480557 723877 742679 755161 1118719 1137521 1167067 1713481 1757987 1803649 2762551 3363899 5198753 5286127 7962647 8169469 12305909 12625543 12837737 19337857 19840139 37002889 57186283 88378801 89864159 135364999 138880973 218241529 629049113 972166811 1527690703 10693834921