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1346813346681 = 331159197390151
BaseRepresentation
bin10011100110010100010…
…101001100001101111001
311202202100201220212022000
4103212110111030031321
5134031233204043211
62510414552051213
7166206201362565
oct23462425141571
94682321825260
101346813346681
1147a1a9028460
12199031093b09
139a0088bc58a
14492869a66a5
1525078b56656
hex1399454c379

1346813346681 has 64 divisors (see below), whose sum is σ = 2224802764800. Its totient is φ = 798340536000.

The previous prime is 1346813346583. The next prime is 1346813346701. The reversal of 1346813346681 is 1866433186431.

1346813346681 is a `hidden beast` number, since 1 + 3 + 46 + 8 + 133 + 466 + 8 + 1 = 666.

It is not a de Polignac number, because 1346813346681 - 27 = 1346813346553 is a prime.

It is a super-2 number, since 2×13468133466812 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1346813346181) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3256956 + ... + 3647106.

It is an arithmetic number, because the mean of its divisors is an integer number (34762543200).

Almost surely, 21346813346681 is an apocalyptic number.

1346813346681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1346813346681 is a deficient number, since it is larger than the sum of its proper divisors (877989418119).

1346813346681 is a wasteful number, since it uses less digits than its factorization.

1346813346681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390427 (or 390421 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 1346813346681 in words is "one trillion, three hundred forty-six billion, eight hundred thirteen million, three hundred forty-six thousand, six hundred eighty-one".

Divisors: 1 3 9 11 27 33 59 99 177 197 297 531 591 649 1593 1773 1947 2167 5319 5841 6501 11623 17523 19503 34869 58509 104607 127853 313821 383559 390151 1150677 1170453 3452031 3511359 4291661 10534077 12874983 23018909 38624949 69056727 76859747 115874847 207170181 230579241 253207999 621510543 691737723 759623997 845457217 2075213169 2278871991 2536371651 4534725073 6836615973 7609114953 13604175219 22827344859 40812525657 49881975803 122437576971 149645927409 448937782227 1346813346681