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216413482428 = 223411134670929
BaseRepresentation
bin1100100110001100111…
…1111010110110111100
3202200121020010222120000
43021203033322312330
512021203322414203
6243230255554300
721430633151313
oct3114317726674
9680536128500
10216413482428
1183864850510
1235b3852b990
131753b957660
14a68dd2727a
1559693e34a3
hex32633fadbc

216413482428 has 120 divisors (see below), whose sum is σ = 664654655280. Its totient is φ = 60535226880.

The previous prime is 216413482423. The next prime is 216413482429. The reversal of 216413482428 is 824284314612.

216413482428 is a `hidden beast` number, since 2 + 1 + 64 + 1 + 348 + 242 + 8 = 666.

It is a super-2 number, since 2×2164134824282 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216413482423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2289133 + ... + 2381796.

It is an arithmetic number, because the mean of its divisors is an integer number (5538788794).

Almost surely, 2216413482428 is an apocalyptic number.

It is an amenable number.

216413482428 is an abundant number, since it is smaller than the sum of its proper divisors (448241172852).

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

216413482428 is a wasteful number, since it uses less digits than its factorization.

216413482428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4670969 (or 4670958 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The spelling of 216413482428 in words is "two hundred sixteen billion, four hundred thirteen million, four hundred eighty-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 81 99 108 117 132 143 156 162 198 234 286 297 324 351 396 429 468 572 594 702 858 891 1053 1188 1287 1404 1716 1782 2106 2574 3564 3861 4212 5148 7722 11583 15444 23166 46332 4670929 9341858 14012787 18683716 28025574 42038361 51380219 56051148 60722077 84076722 102760438 121444154 126115083 154140657 168153444 182166231 205520876 242888308 252230166 308281314 364332462 378345249 462421971 504460332 546498693 616562628 667942847 728664924 756690498 924843942 1092997386 1335885694 1387265913 1513380996 1639496079 1849687884 2003828541 2185994772 2671771388 2774531826 3278992158 4007657082 4161797739 4918488237 5549063652 6011485623 6557984316 8015314164 8323595478 9836976474 12022971246 16647190956 18034456869 19673952948 24045942492 36068913738 54103370607 72137827476 108206741214 216413482428