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66542493168 = 24331726213457
BaseRepresentation
bin111101111110001111…
…011101110111110000
320100202110102220011000
4331332033131313300
52042234334240133
650322540322000
74543661600544
oct757617356760
9210673386130
1066542493168
1126247559008
1210a90b43300
136376038618
143313759a24
151ae6ce9413
hexf7e3dddf0

66542493168 has 160 divisors (see below), whose sum is σ = 202372672320. Its totient is φ = 20862074880.

The previous prime is 66542493131. The next prime is 66542493187. The reversal of 66542493168 is 86139424566.

66542493168 is a `hidden beast` number, since 6 + 6 + 542 + 4 + 9 + 31 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19246896 + ... + 19250352.

It is an arithmetic number, because the mean of its divisors is an integer number (1264829202).

Almost surely, 266542493168 is an apocalyptic number.

66542493168 is a gapful number since it is divisible by the number (68) 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 66542493168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101186336160).

66542493168 is an abundant number, since it is smaller than the sum of its proper divisors (135830179152).

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

66542493168 is a wasteful number, since it uses less digits than its factorization.

66542493168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6112 (or 6100 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 66542493168 in words is "sixty-six billion, five hundred forty-two million, four hundred ninety-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 2621 3457 3672 5242 6914 7344 7863 10371 10484 13828 15726 20742 20968 23589 27656 31113 31452 41484 41936 44557 47178 55312 58769 62226 62904 70767 82968 89114 93339 94356 117538 124452 125808 133671 141534 165936 176307 178228 186678 188712 235076 248904 267342 283068 352614 356456 373356 377424 401013 470152 497808 528921 534684 566136 705228 712912 746712 802026 940304 1057842 1069368 1132272 1203039 1410456 1493424 1586763 1604052 2115684 2138736 2406078 2820912 3173526 3208104 4231368 4812156 6347052 6416208 8462736 9060797 9624312 12694104 18121594 19248624 25388208 27182391 36243188 54364782 72486376 81547173 108729564 144972752 154033549 163094346 217459128 244641519 308067098 326188692 434918256 462100647 489283038 616134196 652377384 924201294 978566076 1232268392 1304754768 1386301941 1848402588 1957132152 2464536784 2772603882 3696805176 3914264304 4158905823 5545207764 7393610352 8317811646 11090415528 16635623292 22180831056 33271246584 66542493168