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21000526704 = 2432736133259
BaseRepresentation
bin10011100011101110…
…101001101101110000
32000012120012021212100
4103203232221231300
5321002113323304
613351510100400
71342261350243
oct234356515560
960176167770
1021000526704
1189a72825a3
1240a104a700
131c98a6a781
14103312d25a
1582da03439
hex4e3ba9b70

21000526704 has 120 divisors (see below), whose sum is σ = 59692908080. Its totient is φ = 6890904576.

The previous prime is 21000526693. The next prime is 21000526741. The reversal of 21000526704 is 40762500012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6442227 + ... + 6445485.

Almost surely, 221000526704 is an apocalyptic number.

21000526704 is a gapful number since it is divisible by the number (24) 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 21000526704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29846454040).

21000526704 is an abundant number, since it is smaller than the sum of its proper divisors (38692381376).

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

21000526704 is a wasteful number, since it uses less digits than its factorization.

21000526704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3959 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 21000526704 in words is "twenty-one billion, five hundred twenty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 613 657 876 1168 1226 1314 1752 1839 2452 2628 3259 3504 3678 4904 5256 5517 6518 7356 9777 9808 10512 11034 13036 14712 19554 22068 26072 29331 29424 39108 44136 44749 52144 58662 78216 88272 89498 117324 134247 156432 178996 234648 237907 268494 357992 402741 469296 475814 536988 713721 715984 805482 951628 1073976 1427442 1610964 1903256 1997767 2141163 2147952 2854884 3221928 3806512 3995534 4282326 5709768 5993301 6443856 7991068 8564652 11419536 11986602 15982136 17129304 17979903 23973204 31964272 34258608 35959806 47946408 71919612 95892816 143839224 145836991 287678448 291673982 437510973 583347964 875021946 1166695928 1312532919 1750043892 2333391856 2625065838 3500087784 5250131676 7000175568 10500263352 21000526704