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20322673650 = 23252293742089
BaseRepresentation
bin10010111011010100…
…110110001111110010
31221110022200210021200
4102323110312033302
5313110101024100
613200333232030
71316420606256
oct227324661762
957408623250
1020322673650
11868968a564
123b32032616
131bbb4b3aa6
14dab0bc266
157de257e00
hex4bb5363f2

20322673650 has 144 divisors (see below), whose sum is σ = 58010963400. Its totient is φ = 5090964480.

The previous prime is 20322673649. The next prime is 20322673663. The reversal of 20322673650 is 5637622302.

It is a happy number.

20322673650 is a `hidden beast` number, since 2 + 0 + 32 + 267 + 365 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 11354394249 + 8968279401 = 106557^2 + 94701^2 .

It is a super-2 number, since 2×203226736502 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 461806 + ... + 503894.

Almost surely, 220322673650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20322673650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29005481700).

20322673650 is an abundant number, since it is smaller than the sum of its proper divisors (37688289750).

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

20322673650 is a wasteful number, since it uses less digits than its factorization.

20322673650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42173 (or 42165 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 20322673650 in words is "twenty billion, three hundred twenty-two million, six hundred seventy-three thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 37 45 50 58 74 75 87 90 111 145 150 174 185 222 225 261 290 333 370 435 450 522 555 666 725 870 925 1073 1110 1305 1450 1665 1850 2146 2175 2610 2775 3219 3330 4350 5365 5550 6438 6525 8325 9657 10730 13050 16095 16650 19314 26825 32190 42089 48285 53650 80475 84178 96570 126267 160950 210445 241425 252534 378801 420890 482850 631335 757602 1052225 1220581 1262670 1557293 1894005 2104450 2441162 3114586 3156675 3661743 3788010 4671879 6102905 6313350 7323486 7786465 9343758 9470025 10985229 12205810 14015637 15572930 18308715 18940050 21970458 23359395 28031274 30514525 36617430 38932325 45161497 46718790 54926145 61029050 70078185 77864650 90322994 91543575 109852290 116796975 135484491 140156370 183087150 225807485 233593950 270968982 274630725 350390925 406453473 451614970 549261450 677422455 700781850 812906946 1129037425 1354844910 2032267365 2258074850 3387112275 4064534730 6774224550 10161336825 20322673650