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10645313042466 = 2321977447401909
BaseRepresentation
bin1001101011101000111000…
…0110100011100000100010
31101200200102011120100220200
42122322032012203200202
52343403100114324331
634350220031050030
72146045531610664
oct232721606434042
941620364510820
1010645313042466
113434719765043
12123b171970916
135c2b0581029b
1428b34344c534
15136d97e375e6
hex9ae8e1a3822

10645313042466 has 48 divisors (see below), whose sum is σ = 24279158030400. Its totient is φ = 3361626032544.

The previous prime is 10645313042461. The next prime is 10645313042513. The reversal of 10645313042466 is 66424031354601.

10645313042466 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 53 + 130 + 4 + 2 + 466 = 666.

It is a super-2 number, since 2×106453130424662 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10645313042461) 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 23 ways as a sum of consecutive naturals, for example, 26285920 + ... + 26687828.

It is an arithmetic number, because the mean of its divisors is an integer number (505815792300).

Almost surely, 210645313042466 is an apocalyptic number.

10645313042466 is an abundant number, since it is smaller than the sum of its proper divisors (13633844987934).

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

10645313042466 is a wasteful number, since it uses less digits than its factorization.

10645313042466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479383 (or 479380 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 10645313042466 in words is "ten trillion, six hundred forty-five billion, three hundred thirteen million, forty-two thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 77447 154894 232341 401909 464682 697023 803818 1205727 1394046 1471493 2411454 2942986 3617181 4414479 7234362 7636271 8828958 13243437 15272542 22908813 26486874 45817626 68726439 137452878 31126646323 62253292646 93379938969 186759877938 280139816907 560279633814 591406280137 1182812560274 1774218840411 3548437680822 5322656521233 10645313042466