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66193239744 = 2633157243989
BaseRepresentation
bin111101101001011011…
…001010111011000000
320022212010020222112000
4331221123022323000
52041030432132434
650224142504000
74532221153152
oct755133127300
9208763228460
1066193239744
11260883a3815
12109b3b95000
13631b8841a8
1432bd204ad2
151ac630bb99
hexf696caec0

66193239744 has 112 divisors (see below), whose sum is σ = 195836133600. Its totient is φ = 21923785728.

The previous prime is 66193239743. The next prime is 66193239751. The reversal of 66193239744 is 44793239166.

It is a happy number.

66193239744 is a `hidden beast` number, since 66 + 193 + 2 + 397 + 4 + 4 = 666.

It is a super-2 number, since 2×661932397442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (66193239743) 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 15 ways as a sum of consecutive naturals, for example, 149302 + ... + 393290.

Almost surely, 266193239744 is an apocalyptic number.

66193239744 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66193239744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97918066800).

66193239744 is an abundant number, since it is smaller than the sum of its proper divisors (129642893856).

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

66193239744 is a wasteful number, since it uses less digits than its factorization.

66193239744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244167 (or 244151 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The spelling of 66193239744 in words is "sixty-six billion, one hundred ninety-three million, two hundred thirty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 157 192 216 288 314 432 471 576 628 864 942 1256 1413 1728 1884 2512 2826 3768 4239 5024 5652 7536 8478 10048 11304 15072 16956 22608 30144 33912 45216 67824 90432 135648 243989 271296 487978 731967 975956 1463934 1951912 2195901 2927868 3903824 4391802 5855736 6587703 7807648 8783604 11711472 13175406 15615296 17567208 23422944 26350812 35134416 38306273 46845888 52701624 70268832 76612546 105403248 114918819 140537664 153225092 210806496 229837638 306450184 344756457 421612992 459675276 612900368 689512914 919350552 1034269371 1225800736 1379025828 1838701104 2068538742 2451601472 2758051656 3677402208 4137077484 5516103312 7354804416 8274154968 11032206624 16548309936 22064413248 33096619872 66193239744