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66313460196 = 223216722572
BaseRepresentation
bin111101110000100101…
…110001100111100100
320100011111110210222100
4331300211301213210
52041302221211241
650244115332100
74535211053124
oct756045614744
9210144423870
1066313460196
112613a246165
1210a282b1030
13633a757559
1432d117ac84
151ad1b579b6
hexf709719e4

66313460196 has 81 divisors (see below), whose sum is σ = 169294170409. Its totient is φ = 21886629888.

The previous prime is 66313460173. The next prime is 66313460233. The reversal of 66313460196 is 69106431366.

The square root of 66313460196 is 257514.

It is a perfect power (a square), and thus also a powerful number.

66313460196 is a `hidden beast` number, since 6 + 6 + 3 + 1 + 34 + 601 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65285360100 + 1028100096 = 255510^2 + 32064^2 .

It is a super-3 number, since 3×663134601963 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 258028900 + ... + 258029156.

Almost surely, 266313460196 is an apocalyptic number.

66313460196 is the 257514-th square number.

It is an amenable number.

66313460196 is an abundant number, since it is smaller than the sum of its proper divisors (102980710213).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66313460196 is a wasteful number, since it uses less digits than its factorization.

66313460196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 66313460196 in words is "sixty-six billion, three hundred thirteen million, four hundred sixty thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 167 257 334 501 514 668 771 1002 1028 1503 1542 2004 2313 3006 3084 4626 6012 9252 27889 42919 55778 66049 83667 85838 111556 128757 132098 167334 171676 198147 251001 257514 264196 334668 386271 396294 502002 515028 594441 772542 792588 1004004 1188882 1545084 2377764 7167473 11030183 14334946 21502419 22060366 28669892 33090549 43004838 44120732 64507257 66181098 86009676 99271647 129014514 132362196 198543294 258029028 397086588 1842040561 3684081122 5526121683 7368162244 11052243366 16578365049 22104486732 33156730098 66313460196