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21660004912 = 24713172338047
BaseRepresentation
bin10100001011000010…
…010111001000110000
32001220112010020220011
4110023002113020300
5323324430124122
613541145024304
71364520001240
oct241302271060
961815106804
1021660004912
119205565307
124245a85094
13207258c970
141096959b20
1586b86e377
hex50b097230

21660004912 has 160 divisors (see below), whose sum is σ = 57068347392. Its totient is φ = 7713902592.

The previous prime is 21660004907. The next prime is 21660004913. The reversal of 21660004912 is 21940006612.

It is not an unprimeable number, because it can be changed into a prime (21660004913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550273 + ... + 588319.

Almost surely, 221660004912 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 21660004912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28534173696).

21660004912 is an abundant number, since it is smaller than the sum of its proper divisors (35408342480).

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

21660004912 is a wasteful number, since it uses less digits than its factorization.

21660004912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38115 (or 38109 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 21660004912 in words is "twenty-one billion, six hundred sixty million, four thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 17 23 26 28 34 46 52 56 68 91 92 104 112 119 136 161 182 184 208 221 238 272 299 322 364 368 391 442 476 598 644 728 782 884 952 1196 1288 1456 1547 1564 1768 1904 2093 2392 2576 2737 3094 3128 3536 4186 4784 5083 5474 6188 6256 8372 10166 10948 12376 16744 20332 21896 24752 33488 35581 38047 40664 43792 71162 76094 81328 142324 152188 266329 284648 304376 494611 532658 569296 608752 646799 875081 989222 1065316 1293598 1750162 1978444 2130632 2587196 3462277 3500324 3956888 4261264 4527593 5174392 6125567 6924554 7000648 7913776 8408387 9055186 10348784 11376053 12251134 13849108 14001296 14876377 16816774 18110372 22752106 24502268 27698216 29752754 33633548 36220744 45504212 49004536 55396432 58858709 59505508 67267096 72441488 79632371 91008424 98009072 104134639 117717418 119011016 134534192 159264742 182016848 193392901 208269278 235434836 238022032 318529484 386785802 416538556 470869672 637058968 773571604 833077112 941739344 1274117936 1353750307 1547143208 1666154224 2707500614 3094286416 5415001228 10830002456 21660004912