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218406213948 = 2231319411797227
BaseRepresentation
bin1100101101101000000…
…1100101100100111100
3202212202002211020022010
43023122001211210330
512034243442321243
6244200123051220
721531211121226
oct3133201454474
9685662736263
10218406213948
118469768316a
12363b3970b10
1317798758530
14a7dc84d416
155a3431c433
hex32da06593c

218406213948 has 96 divisors (see below), whose sum is σ = 591791235840. Its totient is φ = 62112130560.

The previous prime is 218406213919. The next prime is 218406214003. The reversal of 218406213948 is 849312604812.

It is a junction number, because it is equal to n+sod(n) for n = 218406213897 and 218406213906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 777090 + ... + 1020137.

It is an arithmetic number, because the mean of its divisors is an integer number (6164492040).

Almost surely, 2218406213948 is an apocalyptic number.

It is an amenable number.

218406213948 is an abundant number, since it is smaller than the sum of its proper divisors (373385021892).

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

218406213948 is a wasteful number, since it uses less digits than its factorization.

218406213948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797307 (or 1797305 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 218406213948 in words is "two hundred eighteen billion, four hundred six million, two hundred thirteen thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 41 52 57 76 78 82 114 123 156 164 228 246 247 492 494 533 741 779 988 1066 1482 1558 1599 2132 2337 2964 3116 3198 4674 6396 9348 10127 20254 30381 40508 60762 121524 1797227 3594454 5391681 7188908 10783362 21566724 23363951 34147313 46727902 68294626 70091853 73686307 93455804 102441939 136589252 140183706 147372614 204883878 221058921 280367412 294745228 409767756 442117842 443915069 884235684 887830138 957921991 1331745207 1400039833 1775660276 1915843982 2663490414 2800079666 2873765973 3831687964 4200119499 5326980828 5600159332 5747531946 8400238998 11495063892 16800477996 18200517829 36401035658 54601553487 72802071316 109203106974 218406213948