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1666244302436 = 2272291318632593
BaseRepresentation
bin11000001111110011111…
…001100101011001100100
312220021212102121201100002
4120033303321211121210
5204244432020134221
63313243450040432
7231245041612100
oct30176371453144
95807772551302
101666244302436
1159271751937a
1222ab19a19118
13c118424822c
145a90a5c4900
152d52212a80b
hex183f3e65664

1666244302436 has 144 divisors (see below), whose sum is σ = 3541210928640. Its totient is φ = 683160791040.

The previous prime is 1666244302399. The next prime is 1666244302439. The reversal of 1666244302436 is 6342034426661.

It is a happy number.

It is a super-3 number, since 3×16662443024363 (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1666244302439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 642591956 + ... + 642594548.

It is an arithmetic number, because the mean of its divisors is an integer number (24591742560).

Almost surely, 21666244302436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1666244302436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770605464320).

1666244302436 is an abundant number, since it is smaller than the sum of its proper divisors (1874966626204).

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

1666244302436 is a wasteful number, since it uses less digits than its factorization.

1666244302436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3634 (or 3625 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 47.

The spelling of 1666244302436 in words is "one trillion, six hundred sixty-six billion, two hundred forty-four million, three hundred two thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 131 196 203 262 406 524 812 863 917 1421 1726 1834 2593 2842 3452 3668 3799 5186 5684 6041 6419 7598 10372 12082 12838 15196 18151 24164 25027 25676 26593 36302 42287 50054 53186 72604 75197 84574 100108 106372 113053 127057 150394 169148 175189 186151 226106 254114 300788 339683 350378 372302 452212 508228 526379 679366 700756 744604 791371 1052758 1226323 1358732 1582742 2105516 2237759 2377781 2452646 3165484 3278537 3684653 4475518 4755562 4905292 5539597 6557074 7369306 8951036 9511124 9850807 11079194 13114148 14738612 15664313 16644467 19701614 22158388 22949759 31328626 33288934 39403228 45899518 62657252 64895011 66577868 68955649 91799036 109650191 129790022 137911298 160648313 219300382 259580044 275822596 293146429 321296626 438600764 454265077 482689543 586292858 642593252 908530154 965379086 1172585716 1817060308 1930758172 2052025003 3179855539 4104050006 6359711078 8208100012 8501246441 12719422156 14364175021 17002492882 28728350042 34004985764 57456700084 59508725087 119017450174 238034900348 416561075609 833122151218 1666244302436