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20528095700 = 225272310312379
BaseRepresentation
bin10011000111100100…
…011110000111010100
31221222122020022100202
4103013210132013110
5314020143030300
613232552200032
71324463635340
oct230744360724
957878208322
1020528095700
118784636152
123b8a999018
131c21c18cb8
14dca4b2620
158022d3ad5
hex4c791e1d4

20528095700 has 144 divisors (see below), whose sum is σ = 53643233280. Its totient is φ = 6666295680.

The previous prime is 20528095673. The next prime is 20528095711. The reversal of 20528095700 is 759082502.

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 47 ways as a sum of consecutive naturals, for example, 1652111 + ... + 1664489.

Almost surely, 220528095700 is an apocalyptic number.

20528095700 is a gapful number since it is divisible by the number (20) 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 20528095700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26821616640).

20528095700 is an abundant number, since it is smaller than the sum of its proper divisors (33115137580).

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

20528095700 is a wasteful number, since it uses less digits than its factorization.

20528095700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12526 (or 12519 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

The spelling of 20528095700 in words is "twenty billion, five hundred twenty-eight million, ninety-five thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 103 115 140 161 175 206 230 322 350 412 460 515 575 644 700 721 805 1030 1150 1442 1610 2060 2300 2369 2575 2884 3220 3605 4025 4738 5150 7210 8050 9476 10300 11845 12379 14420 16100 16583 18025 23690 24758 33166 36050 47380 49516 59225 61895 66332 72100 82915 86653 118450 123790 165830 173306 236900 247580 284717 309475 331660 346612 414575 433265 569434 618950 829150 866530 1138868 1237900 1275037 1423585 1658300 1733060 1993019 2166325 2550074 2847170 3986038 4332650 5100148 5694340 6375185 7117925 7972076 8665300 8925259 9965095 12750370 14235850 17850518 19930190 25500740 28471700 29325851 31875925 35701036 39860380 44626295 49825475 58651702 63751850 89252590 99650950 117303404 127503700 146629255 178505180 199301900 205280957 223131475 293258510 410561914 446262950 586517020 733146275 821123828 892525900 1026404785 1466292550 2052809570 2932585100 4105619140 5132023925 10264047850 20528095700