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217133359380 = 223257295942347
BaseRepresentation
bin1100101000111000101…
…0000010000100010100
3202202110101201112002100
43022032022002010110
512024142120000010
6243425533242100
721454524050040
oct3121612020424
9682411645070
10217133359380
11840a4136743
12360b9633330
1317624b36152
14a71b797020
1559ac6e02c0
hex328e282114

217133359380 has 144 divisors (see below), whose sum is σ = 778685281920. Its totient is φ = 47919078144.

The previous prime is 217133359321. The next prime is 217133359411. The reversal of 217133359380 is 83953331712.

217133359380 is a `hidden beast` number, since 2 + 17 + 13 + 33 + 593 + 8 + 0 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2934634 + ... + 3007713.

It is an arithmetic number, because the mean of its divisors is an integer number (5407536680).

Almost surely, 2217133359380 is an apocalyptic number.

217133359380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217133359380 is an abundant number, since it is smaller than the sum of its proper divisors (561551922540).

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

217133359380 is a wasteful number, since it uses less digits than its factorization.

217133359380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5942398 (or 5942393 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 217133359380 in words is "two hundred seventeen billion, one hundred thirty-three million, three hundred fifty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 29 30 35 36 42 45 58 60 63 70 84 87 90 105 116 126 140 145 174 180 203 210 252 261 290 315 348 406 420 435 522 580 609 630 812 870 1015 1044 1218 1260 1305 1740 1827 2030 2436 2610 3045 3654 4060 5220 6090 7308 9135 12180 18270 36540 5942347 11884694 17827041 23769388 29711735 35654082 41596429 53481123 59423470 71308164 83192858 89135205 106962246 118846940 124789287 166385716 172328063 178270410 207982145 213924492 249578574 267405615 344656126 356540820 374367861 415964290 499157148 516984189 534811230 623946435 689312252 748735722 831928580 861640315 1033968378 1069622460 1206296441 1247892870 1497471444 1550952567 1723280630 1871839305 2067936756 2412592882 2495785740 2584920945 3101905134 3446561260 3618889323 3743678610 4825185764 5169841890 6031482205 6203810268 7237778646 7487357220 7754762835 10339683780 10856667969 12062964410 14475557292 15509525670 18094446615 21713335938 24125928820 31019051340 36188893230 43426671876 54283339845 72377786460 108566679690 217133359380