Search a number
-
+
272421803414844 = 22352338213189119
BaseRepresentation
bin111101111100010000100100…
…110100100101010100111100
31022201120021021212122021200000
4331330100210310211110330
5241201324323133233334
62403220503201034300
7111244553150333016
oct7574204464452474
91281507255567600
10272421803414844
1179890490007966
1226679206925990
13b90135c05a385
144b3b3ddb091b6
1521764b26a7299
hexf7c424d2553c

272421803414844 has 144 divisors (see below), whose sum is σ = 745370515169280. Its totient is φ = 86836366457280.

The previous prime is 272421803414801. The next prime is 272421803414861. The reversal of 272421803414844 is 448414308124272.

It is a happy number.

272421803414844 is a `hidden beast` number, since 2 + 7 + 2 + 4 + 2 + 180 + 3 + 414 + 8 + 44 = 666.

272421803414844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 83827717 + ... + 87016835.

It is an arithmetic number, because the mean of its divisors is an integer number (5176184133120).

Almost surely, 2272421803414844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272421803414844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372685257584640).

272421803414844 is an abundant number, since it is smaller than the sum of its proper divisors (472948711754436).

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

272421803414844 is a wasteful number, since it uses less digits than its factorization.

272421803414844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192982 (or 3192968 counting only the distinct ones).

The product of its (nonzero) digits is 11010048, while the sum is 54.

The spelling of 272421803414844 in words is "two hundred seventy-two trillion, four hundred twenty-one billion, eight hundred three million, four hundred fourteen thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 243 276 324 414 486 621 828 972 1242 1863 2484 3726 3821 5589 7452 7642 11178 11463 15284 22356 22926 34389 45852 68778 87883 103167 137556 175766 206334 263649 309501 351532 412668 527298 619002 790947 928503 1054596 1238004 1581894 1857006 2372841 3163788 3189119 3714012 4745682 6378238 7118523 9491364 9567357 12756476 14237046 19134714 21355569 28474092 28702071 38269428 42711138 57404142 73349737 85422276 86106213 114808284 146699474 172212426 220049211 258318639 293398948 344424852 440098422 516637278 660147633 774955917 880196844 1033274556 1320295266 1549911834 1980442899 2640590532 3099823668 3960885798 5941328697 7921771596 11882657394 12185623699 17823986091 23765314788 24371247398 35647972182 36556871097 48742494796 71295944364 73113742194 109670613291 146227484388 219341226582 280269345077 329011839873 438682453164 560538690154 658023679746 840808035231 987035519619 1121077380308 1316047359492 1681616070462 1974071039238 2522424105693 2961106558857 3363232140924 3948142078476 5044848211386 5922213117714 7567272317079 10089696422772 11844426235428 15134544634158 22701816951237 30269089268316 45403633902474 68105450853711 90807267804948 136210901707422 272421803414844