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21977194018290 = 2357316336719013
BaseRepresentation
bin1001111111100111101101…
…10101111011010111110010
32212210222222102211110002120
410333303312311323113302
510340033243132041130
6114424103351455110
74425541232622240
oct477636665732762
985728872743076
1021977194018290
117003526096255
12256b3b1987496
13c35595a2a674
1455d9b7cc5790
15281a25aca910
hex13fcf6d7b5f2

21977194018290 has 128 divisors (see below), whose sum is σ = 60322479501312. Its totient is φ = 5019845495040.

The previous prime is 21977194018289. The next prime is 21977194018309. The reversal of 21977194018290 is 9281049177912.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2438383824 + ... + 2438392836.

It is an arithmetic number, because the mean of its divisors is an integer number (471269371104).

Almost surely, 221977194018290 is an apocalyptic number.

21977194018290 is an abundant number, since it is smaller than the sum of its proper divisors (38345285483022).

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

21977194018290 is a wasteful number, since it uses less digits than its factorization.

21977194018290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15864.

The product of its (nonzero) digits is 4572288, while the sum is 60.

The spelling of 21977194018290 in words is "twenty-one trillion, nine hundred seventy-seven billion, one hundred ninety-four million, eighteen thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 3163 3671 6326 7342 9013 9489 11013 15815 18026 18355 18978 22026 22141 25697 27039 31630 36710 44282 45065 47445 51394 54078 55065 63091 66423 77091 90130 94890 110130 110705 126182 128485 132846 135195 154182 189273 221410 256970 270390 315455 332115 378546 385455 630910 664230 770910 946365 1892730 11611373 23222746 28508119 33086723 34834119 57016238 58056865 66173446 69668238 81279611 85524357 99260169 116113730 142540595 162559222 165433615 171048714 174170595 198520338 199556833 231607061 243838833 285081190 330867230 348341190 399113666 406398055 427621785 463214122 487677666 496300845 598670499 694821183 812796110 855243570 992601690 997784165 1158035305 1197340998 1219194165 1389642366 1995568330 2316070610 2438388330 2993352495 3474105915 5986704990 6948211830 104653304849 209306609698 313959914547 523266524245 627919829094 732573133943 1046533048490 1465146267886 1569799572735 2197719401829 3139599145470 3662865669715 4395438803658 7325731339430 10988597009145 21977194018290