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6230492541 = 36721313417
BaseRepresentation
bin1011100110101110…
…11100010101111101
3121002012202211000000
411303113130111331
5100230001230131
62510125024513
7310253212200
oct56327342575
917065684000
106230492541
112707a50299
12125a6b5139
13783a6b2a0
1443168b937
15266eb6ce6
hex1735dc57d

6230492541 has 84 divisors (see below), whose sum is σ = 11703367452. Its totient is φ = 3286168704.

The previous prime is 6230492519. The next prime is 6230492657. The reversal of 6230492541 is 1452940326.

It is a happy number.

6230492541 is a `hidden beast` number, since 6 + 23 + 0 + 4 + 92 + 541 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1575296100 + 4655196441 = 39690^2 + 68229^2 .

It is not a de Polignac number, because 6230492541 - 217 = 6230361469 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6230492496 and 6230492505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6230492041) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 457665 + ... + 471081.

It is an arithmetic number, because the mean of its divisors is an integer number (139325803).

Almost surely, 26230492541 is an apocalyptic number.

It is an amenable number.

6230492541 is a deficient number, since it is larger than the sum of its proper divisors (5472874911).

6230492541 is a wasteful number, since it uses less digits than its factorization.

6230492541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13462 (or 13440 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6230492541 is about 78933.4690799790. The cubic root of 6230492541 is about 1840.0973228492.

The spelling of 6230492541 in words is "six billion, two hundred thirty million, four hundred ninety-two thousand, five hundred forty-one".

Divisors: 1 3 7 9 13 21 27 39 49 63 81 91 117 147 189 243 273 351 441 567 637 729 819 1053 1323 1701 1911 2457 3159 3969 5103 5733 7371 9477 11907 13417 17199 22113 35721 40251 51597 66339 93919 120753 154791 174421 281757 362259 464373 523263 657433 845271 1086777 1220947 1569789 1972299 2535813 3260331 3662841 4709367 5916897 7607439 8546629 9780993 10988523 14128101 17750691 22822317 25639887 32965569 42384303 53252073 68466951 76919661 98896707 127152909 159756219 230758983 296690121 479268657 692276949 890070363 2076830847 6230492541