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66940774110 = 2345731380843
BaseRepresentation
bin111110010101111110…
…110010011011011110
320101210012212122220000
4332111332302123132
52044043314232420
650430245035130
74556566122510
oct762576623336
9211705778800
1066940774110
112643135a411
1210b823b5aa6
13640a6c7612
1433505d3bb0
151b1bc6d690
hexf95fb26de

66940774110 has 160 divisors (see below), whose sum is σ = 212346427392. Its totient is φ = 14807136960.

The previous prime is 66940774073. The next prime is 66940774157. The reversal of 66940774110 is 1147704966.

66940774110 is a `hidden beast` number, since 6 + 69 + 407 + 74 + 110 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14652 + ... + 366191.

Almost surely, 266940774110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66940774110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106173213696).

66940774110 is an abundant number, since it is smaller than the sum of its proper divisors (145405653282).

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

66940774110 is a wasteful number, since it uses less digits than its factorization.

66940774110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380900 (or 380891 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 66940774110 in words is "sixty-six billion, nine hundred forty million, seven hundred seventy-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 31 35 42 45 54 62 63 70 81 90 93 105 126 135 155 162 186 189 210 217 270 279 310 315 378 405 434 465 558 567 630 651 810 837 930 945 1085 1134 1302 1395 1674 1890 1953 2170 2511 2790 2835 3255 3906 4185 5022 5670 5859 6510 8370 9765 11718 12555 17577 19530 25110 29295 35154 58590 87885 175770 380843 761686 1142529 1904215 2285058 2665901 3427587 3808430 5331802 5712645 6855174 7997703 10282761 11425290 11806133 13329505 15995406 17137935 20565522 23612266 23993109 26659010 30848283 34275870 35418399 39988515 47986218 51413805 59030665 61696566 70836798 71979327 79977030 82642931 102827610 106255197 118061330 119965545 143958654 154241415 165285862 177091995 212510394 215937981 239931090 247928793 308482830 318765591 354183990 359896635 413214655 431875962 495857586 531275985 637531182 719793270 743786379 826429310 956296773 1062551970 1079689905 1239643965 1487572758 1593827955 1912593546 2159379810 2231359137 2479287930 3187655910 3718931895 4462718274 4781483865 6694077411 7437863790 9562967730 11156795685 13388154822 22313591370 33470387055 66940774110