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66914769636 = 2232111331419297
BaseRepresentation
bin111110010100011011…
…100101101011100100
320101201101221111110100
4332110123211223210
52044020140112021
650423515424100
74556132104641
oct762433455344
9211641844410
1066914769636
1126418708910
1210b75755030
1364051c1160
14334ad84dc8
151b19833626
hexf946e5ae4

66914769636 has 144 divisors (see below), whose sum is σ = 205127290368. Its totient is φ = 18113587200.

The previous prime is 66914769631. The next prime is 66914769637. The reversal of 66914769636 is 63696741966.

It is a super-3 number, since 3×669147696363 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (66914769631) 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, 50061 + ... + 369236.

It is an arithmetic number, because the mean of its divisors is an integer number (1424495072).

Almost surely, 266914769636 is an apocalyptic number.

66914769636 is a gapful number since it is divisible by the number (66) 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 66914769636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102563645184).

66914769636 is an abundant number, since it is smaller than the sum of its proper divisors (138212520732).

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

66914769636 is a wasteful number, since it uses less digits than its factorization.

66914769636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419362 (or 419357 counting only the distinct ones).

The product of its digits is 52907904, while the sum is 63.

The spelling of 66914769636 in words is "sixty-six billion, nine hundred fourteen million, seven hundred sixty-nine thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 31 33 36 39 44 52 62 66 78 93 99 117 124 132 143 156 186 198 234 279 286 341 372 396 403 429 468 558 572 682 806 858 1023 1116 1209 1287 1364 1612 1716 2046 2418 2574 3069 3627 4092 4433 4836 5148 6138 7254 8866 12276 13299 14508 17732 26598 39897 53196 79794 159588 419297 838594 1257891 1677188 2515782 3773673 4612267 5031564 5450861 7547346 9224534 10901722 12998207 13836801 15094692 16352583 18449068 21803444 25996414 27673602 32705166 38994621 41510403 49057749 51992828 55347204 59959471 65410332 77989242 83020806 98115498 116983863 119918942 142980277 155978484 166041612 168976691 179878413 196230996 233967726 239837884 285960554 337953382 359756826 428940831 467935452 506930073 539635239 571921108 675906764 719513652 857881662 1013860146 1079270478 1286822493 1520790219 1715763324 1858743601 2027720292 2158540956 2573644986 3041580438 3717487202 5147289972 5576230803 6083160876 7434974404 11152461606 16728692409 22304923212 33457384818 66914769636