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20521514137776 = 2432943794339849
BaseRepresentation
bin1001010101010000010011…
…00011110111100010110000
32200122211121121022122200220
410222220021203313202300
510142211030104402101
6111351241540013040
74215426152035101
oct452501143674260
980584547278626
1020521514137776
1165a2141810693
122375259691180
13b5b22a70b742
1450d3648aa3a8
15258c29623636
hex12aa098f78b0

20521514137776 has 160 divisors (see below), whose sum is σ = 56827731840000. Its totient is φ = 6369369237504.

The previous prime is 20521514137753. The next prime is 20521514137781. The reversal of 20521514137776 is 67773141512502.

It is a super-2 number, since 2×205215141377762 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2558700 + ... + 6898548.

It is an arithmetic number, because the mean of its divisors is an integer number (355173324000).

Almost surely, 220521514137776 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 20521514137776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28413865920000).

20521514137776 is an abundant number, since it is smaller than the sum of its proper divisors (36306217702224).

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

20521514137776 is a wasteful number, since it uses less digits than its factorization.

20521514137776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4340011 (or 4340005 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 51.

The spelling of 20521514137776 in words is "twenty trillion, five hundred twenty-one billion, five hundred fourteen million, one hundred thirty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 43 48 58 79 86 87 116 129 158 172 174 232 237 258 316 344 348 464 474 516 632 688 696 948 1032 1247 1264 1392 1896 2064 2291 2494 3397 3741 3792 4582 4988 6794 6873 7482 9164 9976 10191 13588 13746 14964 18328 19952 20382 27176 27492 29928 36656 40764 54352 54984 59856 81528 98513 109968 163056 197026 295539 394052 591078 788104 1182156 1576208 2364312 4339849 4728624 8679698 13019547 17359396 26039094 34718792 52078188 69437584 104156376 125855621 186613507 208312752 251711242 342848071 373227014 377566863 503422484 559840521 685696142 746454028 755133726 1006844968 1028544213 1119681042 1371392284 1492908056 1510267452 2013689936 2057088426 2239362084 2742784568 2985816112 3020534904 4114176852 4478724168 5411791703 5485569136 6041069808 8228353704 8957448336 9942594059 10823583406 14742467053 16235375109 16456707408 19885188118 21647166812 29484934106 29827782177 32470750218 39770376236 43294333624 44227401159 58969868212 59655564354 64941500436 79540752472 86588667248 88454802318 117939736424 119311128708 129883000872 159081504944 176909604636 235879472848 238622257416 259766001744 353819209272 427531544537 477244514832 707638418544 855063089074 1282594633611 1710126178148 2565189267222 3420252356296 5130378534444 6840504712592 10260757068888 20521514137776