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211473067428 = 223275356927827
BaseRepresentation
bin1100010011110011000…
…1101110110110100100
3202012211220212220020200
43010330301232312210
511431044101124203
6241052133430500
721164333262120
oct3047461566644
9665756786220
10211473067428
118175a040607
1234b99a9b430
1316c3225bb7c
14a341b36580
15577a80b9a3
hex313cc6eda4

211473067428 has 144 divisors (see below), whose sum is σ = 623565371520. Its totient is φ = 59174548992.

The previous prime is 211473067423. The next prime is 211473067471. The reversal of 211473067428 is 824760374112.

211473067428 is a `hidden beast` number, since 21 + 147 + 3 + 0 + 67 + 428 = 666.

It is not an unprimeable number, because it can be changed into a prime (211473067423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7585651 + ... + 7613477.

It is an arithmetic number, because the mean of its divisors is an integer number (4330315080).

Almost surely, 2211473067428 is an apocalyptic number.

211473067428 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211473067428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311782685760).

211473067428 is an abundant number, since it is smaller than the sum of its proper divisors (412092304092).

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

211473067428 is a wasteful number, since it uses less digits than its factorization.

211473067428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28466 (or 28461 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 211473067428 in words is "two hundred eleven billion, four hundred seventy-three million, sixty-seven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 477 569 636 742 954 1113 1138 1484 1707 1908 2226 2276 3339 3414 3983 4452 5121 6678 6828 7966 10242 11949 13356 15932 20484 23898 27827 30157 35847 47796 55654 60314 71694 83481 90471 111308 120628 143388 166962 180942 194789 211099 250443 271413 333924 361884 389578 422198 500886 542826 584367 633297 779156 844396 1001772 1085652 1168734 1266594 1474831 1753101 1899891 2337468 2533188 2949662 3506202 3799782 4424493 5899324 7012404 7599564 8848986 10323817 13273479 15833563 17697972 20647634 26546958 30971451 31667126 41295268 47500689 53093916 61942902 63334252 92914353 95001378 110834941 123885804 142502067 185828706 190002756 221669882 285004134 332504823 371657412 443339764 570008268 665009646 839178839 997514469 1330019292 1678357678 1995028938 2517536517 3356715356 3990057876 5035073034 5874251873 7552609551 10070146068 11748503746 15105219102 17622755619 23497007492 30210438204 35245511238 52868266857 70491022476 105736533714 211473067428