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61539082749 = 3379101331863
BaseRepresentation
bin111001010100000000…
…111110000111111101
312212211202122022101000
4321110000332013331
52002013001121444
644134244040513
74305665400264
oct712400760775
9185752568330
1061539082749
112410a231781
12bb15393139
135a59584641
142d9b04b5db
15190291c469
hexe5403e1fd

61539082749 has 64 divisors (see below), whose sum is σ = 93627187200. Its totient is φ = 39938184000.

The previous prime is 61539082727. The next prime is 61539082753. The reversal of 61539082749 is 94728093516.

61539082749 is a `hidden beast` number, since 61 + 539 + 0 + 8 + 2 + 7 + 49 = 666.

It is not a de Polignac number, because 61539082749 - 213 = 61539074557 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61539082695 and 61539082704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61539082849) 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 63 ways as a sum of consecutive naturals, for example, 71307892 + ... + 71308754.

It is an arithmetic number, because the mean of its divisors is an integer number (1462924800).

It is a 2-persistent number, because it is pandigital, and so is 2⋅61539082749 = 123078165498, but 3⋅61539082749 = 184617248247 is not.

Almost surely, 261539082749 is an apocalyptic number.

61539082749 is the 156894-th heptagonal number.

It is an amenable number.

61539082749 is a deficient number, since it is larger than the sum of its proper divisors (32088104451).

61539082749 is a wasteful number, since it uses less digits than its factorization.

61539082749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 61539082749 in words is "sixty-one billion, five hundred thirty-nine million, eighty-two thousand, seven hundred forty-nine".

Divisors: 1 3 9 27 79 101 237 303 331 711 863 909 993 2133 2589 2727 2979 7767 7979 8937 23301 23937 26149 33431 68177 71811 78447 87163 100293 204531 215433 235341 261489 285653 300879 613593 706023 784467 856959 902637 1840779 2353401 2570877 2641049 6885877 7712631 7923147 20657631 22566587 23769441 28850953 61972893 67699761 71308323 86552859 185918679 203099283 259658577 609297849 778975731 2279225287 6837675861 20513027583 61539082749