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211930513284 = 223724311374177
BaseRepresentation
bin1100010101100000001…
…0101111111110000100
3202021000210122112222210
43011120002233332010
511433013202411114
6241205354223420
721211556432400
oct3053002577604
9667023575883
10211930513284
1181974282436
12350a7124b70
1316ca5c649a9
14a3867b2100
1557a5a6b259
hex31580aff84

211930513284 has 144 divisors (see below), whose sum is σ = 593834649408. Its totient is φ = 58619215872.

The previous prime is 211930513259. The next prime is 211930513303. The reversal of 211930513284 is 482315039112.

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, 2820004 + ... + 2894180.

It is an arithmetic number, because the mean of its divisors is an integer number (4123851732).

Almost surely, 2211930513284 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 211930513284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296917324704).

211930513284 is an abundant number, since it is smaller than the sum of its proper divisors (381904136124).

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

211930513284 is a wasteful number, since it uses less digits than its factorization.

211930513284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74354 (or 74345 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 211930513284 in words is "two hundred eleven billion, nine hundred thirty million, five hundred thirteen thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 113 129 147 172 196 226 258 294 301 339 452 516 588 602 678 791 903 1204 1356 1582 1806 2107 2373 3164 3612 4214 4746 4859 5537 6321 8428 9492 9718 11074 12642 14577 16611 19436 22148 25284 29154 33222 34013 58308 66444 68026 74177 102039 136052 148354 204078 222531 238091 296708 408156 445062 476182 519239 714273 890124 952364 1038478 1428546 1557717 2076956 2857092 3115434 3189611 3634673 6230868 6379222 7269346 8382001 9568833 10904019 12758444 14538692 16764002 19137666 21808038 22327277 25146003 33528004 38275332 43616076 44654554 50292006 58674007 66981831 89309108 100584012 117348014 133963662 156290939 176022021 234696028 267927324 312581878 352044042 360426043 410718049 468872817 625163756 704088084 720852086 821436098 937745634 1081278129 1232154147 1441704172 1642872196 1875491268 2162556258 2464308294 2522982301 4325112516 4928616588 5045964602 7568946903 10091929204 15137893806 17660876107 30275787612 35321752214 52982628321 70643504428 105965256642 211930513284