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21385674432 = 263410937847
BaseRepresentation
bin10011111010101011…
…110111111011000000
32001012101220211020000
4103322223313323000
5322244213040212
613454025120000
71354646143023
oct237253677300
961171824200
1021385674432
119084723801
12418a029000
13202a7aba35
14106c3491ba
158527311dc
hex4faaf7ec0

21385674432 has 140 divisors (see below), whose sum is σ = 63977123760. Its totient is φ = 7062971904.

The previous prime is 21385674419. The next prime is 21385674439. The reversal of 21385674432 is 23447658312.

21385674432 is a `hidden beast` number, since 2 + 13 + 8 + 567 + 44 + 32 = 666.

It is a super-2 number, since 2×213856744322 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21385674439) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 546133 + ... + 583979.

Almost surely, 221385674432 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 21385674432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31988561880).

21385674432 is an abundant number, since it is smaller than the sum of its proper divisors (42591449328).

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

21385674432 is a wasteful number, since it uses less digits than its factorization.

21385674432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37980 (or 37961 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 21385674432 in words is "twenty-one billion, three hundred eighty-five million, six hundred seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 109 144 162 192 216 218 288 324 327 432 436 576 648 654 864 872 981 1296 1308 1728 1744 1962 2592 2616 2943 3488 3924 5184 5232 5886 6976 7848 8829 10464 11772 15696 17658 20928 23544 31392 35316 37847 47088 62784 70632 75694 94176 113541 141264 151388 188352 227082 282528 302776 340623 454164 565056 605552 681246 908328 1021869 1211104 1362492 1816656 2043738 2422208 2724984 3065607 3633312 4087476 4125323 5449968 6131214 7266624 8174952 8250646 10899936 12262428 12375969 16349904 16501292 21799872 24524856 24751938 32699808 33002584 37127907 49049712 49503876 65399616 66005168 74255814 98099424 99007752 111383721 132010336 148511628 196198848 198015504 222767442 264020672 297023256 334151163 396031008 445534884 594046512 668302326 792062016 891069768 1188093024 1336604652 1782139536 2376186048 2673209304 3564279072 5346418608 7128558144 10692837216 21385674432