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212461935924 = 223721014098747
BaseRepresentation
bin1100010111011110110…
…1111101110100110100
3202022101211121121210210
43011313231331310310
511440110223422144
6241334220345420
721231001441500
oct3056755756464
9668354547723
10212461935924
11821172510a7
12352150a5270
131705c09c464
14a3d71c7300
1557d753eab9
hex3177b7dd34

212461935924 has 144 divisors (see below), whose sum is σ = 583882810560. Its totient is φ = 59948582400.

The previous prime is 212461935911. The next prime is 212461935941. The reversal of 212461935924 is 429539164212.

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, 24285319 + ... + 24294065.

It is an arithmetic number, because the mean of its divisors is an integer number (4054741740).

Almost surely, 2212461935924 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 212461935924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291941405280).

212461935924 is an abundant number, since it is smaller than the sum of its proper divisors (371420874636).

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

212461935924 is a wasteful number, since it uses less digits than its factorization.

212461935924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9278 (or 9269 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The spelling of 212461935924 in words is "two hundred twelve billion, four hundred sixty-one million, nine hundred thirty-five thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 101 147 196 202 294 303 404 409 588 606 707 818 1212 1227 1414 1636 2121 2454 2828 2863 4242 4908 4949 5726 8484 8589 8747 9898 11452 14847 17178 17494 19796 20041 26241 29694 34356 34988 40082 41309 52482 59388 60123 61229 80164 82618 104964 120246 122458 123927 165236 183687 240492 244916 247854 289163 367374 428603 495708 578326 734748 857206 867489 883447 1156652 1285809 1714412 1734978 1766894 2024141 2571618 2650341 3469956 3533788 3577523 4048282 5143236 5300682 6072423 6184129 7155046 8096564 10601364 10732569 12144846 12368258 14310092 18552387 21465138 24289692 24736516 25042661 37104774 42930276 43288903 50085322 74209548 75127983 86577806 100170644 129866709 150255966 173155612 175298627 259733418 300511932 350597254 361329823 519466836 525895881 701194508 722659646 1051791762 1083989469 1445319292 2103583524 2167978938 2529308761 4335957876 5058617522 7587926283 10117235044 15175852566 17705161327 30351705132 35410322654 53115483981 70820645308 106230967962 212461935924