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20905363700 = 225213191396089
BaseRepresentation
bin10011011110000011…
…101000100011110100
31222221221010111202122
4103132003220203310
5320303233114300
613334230255112
71340024442134
oct233603504364
958857114678
1020905363700
118958595191
1240751b7498
131c8212b7c0
14102463aac4
158254a6c85
hex4de0e88f4

20905363700 has 144 divisors (see below), whose sum is σ = 51803976000. Its totient is φ = 7258844160.

The previous prime is 20905363693. The next prime is 20905363723. The reversal of 20905363700 is 736350902.

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, 3430256 + ... + 3436344.

Almost surely, 220905363700 is an apocalyptic number.

20905363700 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 20905363700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25901988000).

20905363700 is an abundant number, since it is smaller than the sum of its proper divisors (30898612300).

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

20905363700 is a wasteful number, since it uses less digits than its factorization.

20905363700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6274 (or 6267 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 35.

The spelling of 20905363700 in words is "twenty billion, nine hundred five million, three hundred sixty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 130 139 190 247 260 278 325 380 475 494 556 650 695 950 988 1235 1300 1390 1807 1900 2470 2641 2780 3475 3614 4940 5282 6089 6175 6950 7228 9035 10564 12178 12350 13205 13900 18070 24356 24700 26410 30445 34333 36140 45175 52820 60890 66025 68666 79157 90350 115691 121780 132050 137332 152225 158314 171665 180700 231382 264100 304450 316628 343330 395785 462764 578455 608900 686660 791570 846371 858325 1156910 1503983 1583140 1692742 1716650 1978925 2313820 2892275 3007966 3385484 3433300 3957850 4231855 5784550 6015932 7519915 7915700 8463710 11002823 11569100 15039830 16081049 16927420 21159275 22005646 30079660 32162098 37599575 42318550 44011292 55014115 64324196 75199150 80405245 84637100 110028230 150398300 160810490 209053637 220056460 275070575 321620980 402026225 418107274 550141150 804052450 836214548 1045268185 1100282300 1608104900 2090536370 4181072740 5226340925 10452681850 20905363700