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21204681732 = 223213232836961
BaseRepresentation
bin10011101111111001…
…011100010000000100
32000201210100102220200
4103233321130100010
5321411344303412
613424041530500
71350320551353
oct235771342004
960653312820
1021204681732
118aa1543263
1241394a3a30
131ccc14b070
1410522b399a
158418cd9dc
hex4efe5c404

21204681732 has 144 divisors (see below), whose sum is σ = 60455111808. Its totient is φ = 6217896960.

The previous prime is 21204681661. The next prime is 21204681733. The reversal of 21204681732 is 23718640212.

It is a happy number.

21204681732 is a `hidden beast` number, since 2 + 1 + 20 + 468 + 173 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21204681733) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3042732 + ... + 3049692.

Almost surely, 221204681732 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 21204681732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30227555904).

21204681732 is an abundant number, since it is smaller than the sum of its proper divisors (39250430076).

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

21204681732 is a wasteful number, since it uses less digits than its factorization.

21204681732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7290 (or 7285 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 21204681732 in words is "twenty-one billion, two hundred four million, six hundred eighty-one thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 283 299 414 468 566 598 828 849 897 1132 1196 1698 1794 2547 2691 3396 3588 3679 5094 5382 6509 6961 7358 10188 10764 11037 13018 13922 14716 19527 20883 22074 26036 27844 33111 39054 41766 44148 58581 62649 66222 78108 83532 84617 90493 117162 125298 132444 160103 169234 180986 234324 250596 253851 271479 320206 338468 361972 480309 507702 542958 640412 761553 814437 960618 1015404 1085916 1440927 1523106 1628874 1921236 1969963 2081339 2881854 3046212 3257748 3939926 4162678 5763708 5909889 6244017 7879852 8325356 11819778 12488034 17729667 18732051 23639556 24976068 25609519 35459334 37464102 45309149 51219038 70918668 74928204 76828557 90618298 102438076 135927447 153657114 181236596 230485671 271854894 307314228 407782341 460971342 543709788 589018937 815564682 921942684 1178037874 1631129364 1767056811 2356075748 3534113622 5301170433 7068227244 10602340866 21204681732