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21675189492 = 2234117383311
BaseRepresentation
bin10100001011111100…
…010010010011110100
32001221120200201020000
4110023330102103310
5323342322030432
613542450311300
71365063033165
oct241374222364
961846621200
1021675189492
119213096750
12424ab88530
132075778318
14109898d76c
1586cd6d57c
hex50bf124f4

21675189492 has 120 divisors (see below), whose sum is σ = 62661954432. Its totient is φ = 6478185600.

The previous prime is 21675189427. The next prime is 21675189509. The reversal of 21675189492 is 29498157612.

It is a happy number.

21675189492 is a `hidden beast` number, since 2 + 1 + 6 + 75 + 1 + 89 + 492 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 218517 + ... + 301827.

Almost surely, 221675189492 is an apocalyptic number.

21675189492 is a gapful number since it is divisible by the number (22) 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 21675189492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31330977216).

21675189492 is an abundant number, since it is smaller than the sum of its proper divisors (40986764940).

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

21675189492 is a wasteful number, since it uses less digits than its factorization.

21675189492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83411 (or 83400 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 21675189492 in words is "twenty-one billion, six hundred seventy-five million, one hundred eighty-nine thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 73 81 99 108 132 146 162 198 219 292 297 324 396 438 594 657 803 876 891 1188 1314 1606 1782 1971 2409 2628 3212 3564 3942 4818 5913 7227 7884 9636 11826 14454 21681 23652 28908 43362 65043 83311 86724 130086 166622 249933 260172 333244 499866 749799 916421 999732 1499598 1832842 2249397 2749263 2999196 3665684 4498794 5498526 6081703 6748191 8247789 8997588 10997052 12163406 13496382 16495578 18245109 24326812 24743367 26992764 32991156 36490218 49486734 54735327 66898733 72980436 74230101 98973468 109470654 133797466 148460202 164205981 200696199 218941308 267594932 296920404 328411962 401392398 492617943 602088597 656823924 802784796 985235886 1204177194 1806265791 1970471772 2408354388 3612531582 5418797373 7225063164 10837594746 21675189492