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13390469171401 = 725227572
BaseRepresentation
bin1100001011011011011000…
…1010001000100011001001
31202102010010211010122022111
43002312312022020203021
53223342140101441101
644251255134022321
72551300210655200
oct302666612104311
952363124118274
1013390469171401
1142a2958838543
1216031b50479a1
1376193c8891ba
143441604b4237
151834b449b251
hexc2db62888c9

13390469171401 has 9 divisors (see below), whose sum is σ = 15576698016999. Its totient is φ = 11477523048264.

The previous prime is 13390469171393. The next prime is 13390469171413. The reversal of 13390469171401 is 10417196409331.

It is a happy number.

The square root of 13390469171401 is 3659299.

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., 13093361325625 + 297107845776 = 3618475^2 + 545076^2 .

It is not a de Polignac number, because 13390469171401 - 23 = 13390469171393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (13390469171461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25353715 + ... + 25876471.

It is an arithmetic number, because the mean of its divisors is an integer number (1730744224111).

Almost surely, 213390469171401 is an apocalyptic number.

13390469171401 is the 3659299-th square number.

13390469171401 is the 1829650-th centered octagonal number.

It is an amenable number.

13390469171401 is a deficient number, since it is larger than the sum of its proper divisors (2186228845598).

13390469171401 is an frugal number, since it uses more digits than its factorization.

13390469171401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045528 (or 522764 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

Multiplying 13390469171401 by its sum of digits (49), we get a square (656132989398649 = 256150932).

13390469171401 divided by its sum of digits (49) gives a square (273274881049 = 5227572).

The spelling of 13390469171401 in words is "thirteen trillion, three hundred ninety billion, four hundred sixty-nine million, one hundred seventy-one thousand, four hundred one".

Divisors: 1 7 49 522757 3659299 25615093 273274881049 1912924167343 13390469171401