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21852668292 = 223713171177153
BaseRepresentation
bin10100010110100001…
…010100000110000100
32002101221122120100220
4110112201110012010
5324223240341132
614012230304340
71402346421120
oct242641240604
962357576326
1021852668292
1192a4297144
12429a4b80b0
1320a3478770
1410b438c580
1587d729a2c
hex516854184

21852668292 has 96 divisors (see below), whose sum is σ = 66447988992. Its totient is φ = 5424316416.

The previous prime is 21852668263. The next prime is 21852668293. The reversal of 21852668292 is 29286625812.

It is a super-2 number, since 2×218526682922 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (21852668293) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 570013 + ... + 607140.

It is an arithmetic number, because the mean of its divisors is an integer number (692166552).

Almost surely, 221852668292 is an apocalyptic number.

It is an amenable number.

21852668292 is an abundant number, since it is smaller than the sum of its proper divisors (44595320700).

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

21852668292 is a wasteful number, since it uses less digits than its factorization.

21852668292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177197 (or 1177195 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The spelling of 21852668292 in words is "twenty-one billion, eight hundred fifty-two million, six hundred sixty-eight thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 42 51 52 68 78 84 91 102 119 156 182 204 221 238 273 357 364 442 476 546 663 714 884 1092 1326 1428 1547 2652 3094 4641 6188 9282 18564 1177153 2354306 3531459 4708612 7062918 8240071 14125836 15302989 16480142 20011601 24720213 30605978 32960284 40023202 45908967 49440426 60034803 61211956 80046404 91817934 98880852 107120923 120069606 140081207 183635868 214241846 240139212 260150813 280162414 321362769 420243621 428483692 520301626 560324828 642725538 780452439 840487242 1040603252 1285451076 1560904878 1680974484 1821055691 3121809756 3642111382 5463167073 7284222764 10926334146 21852668292