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61421341042413 = 3211191511991086677
BaseRepresentation
bin11011111011100110001010…
…01101101110011011101101
322001110211012212022121001100
431331303011031232123231
531022311401301324123
6334344324033433313
715636355042442142
oct1575630515563355
9261424185277040
1061421341042413
111863070a849430
126a7ba4aa0b839
1328370139380c1
141124b473903c9
15717a9b579643
hex37dcc536e6ed

61421341042413 has 96 divisors (see below), whose sum is σ = 103069234944000. Its totient is φ = 34856219376000.

The previous prime is 61421341042387. The next prime is 61421341042487. The reversal of 61421341042413 is 31424014312416.

It is a happy number.

61421341042413 is a `hidden beast` number, since 6 + 1 + 4 + 2 + 134 + 104 + 2 + 413 = 666.

It is not a de Polignac number, because 61421341042413 - 25 = 61421341042381 is a prime.

It is a super-2 number, since 2×614213410424132 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61421341042213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55978831 + ... + 57065507.

It is an arithmetic number, because the mean of its divisors is an integer number (1073637864000).

Almost surely, 261421341042413 is an apocalyptic number.

It is an amenable number.

61421341042413 is a deficient number, since it is larger than the sum of its proper divisors (41647893901587).

61421341042413 is a wasteful number, since it uses less digits than its factorization.

61421341042413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087063 (or 1087060 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 61421341042413 its reverse (31424014312416), we get a palindrome (92845355354829).

The spelling of 61421341042413 in words is "sixty-one trillion, four hundred twenty-one billion, three hundred forty-one million, forty-two thousand, four hundred thirteen".

Divisors: 1 3 9 11 19 33 57 99 151 171 199 209 453 597 627 1359 1661 1791 1881 2189 2869 3781 4983 6567 8607 11343 14949 19701 25821 30049 31559 34029 41591 90147 94677 124773 270441 284031 330539 374319 570931 991617 1086677 1712793 2974851 3260031 5138379 6280241 9780093 11953447 18840723 20646863 35860341 56522169 61940589 107581023 164088227 185821767 216248723 227115493 492264681 648746169 681346479 1476794043 1804970497 1946238507 2044039437 2378735953 3117676313 4108725737 5414911491 7136207859 9353028939 12326177211 16244734473 21408623577 28059086817 32653557173 34294439443 36978531633 45195983107 97960671519 102883318329 135587949321 293882014557 308649954987 359189128903 406763847963 620417586287 1077567386709 1861252758861 3232702160127 5583758276583 6824593449157 20473780347471 61421341042413