Search a number
-
+
20387067759776 = 2519292535745599
BaseRepresentation
bin1001010001010101110111…
…11011101000110010100000
32200011222120210202000010102
410220222323323220302200
510133010203321303101
6111205404543321532
74202626354501424
oct450527373506240
980158523660112
1020387067759776
11655011a2959a3
1223531978b02a8
13b4b6525b6313
14506a4ca92b84
152554ab26486b
hex128abbee8ca0

20387067759776 has 96 divisors (see below), whose sum is σ = 43709077440000. Its totient is φ = 9323458808832.

The previous prime is 20387067759733. The next prime is 20387067759811. The reversal of 20387067759776 is 67795776078302.

It is a super-2 number, since 2×203870677597762 (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 15 ways as a sum of consecutive naturals, for example, 447071825 + ... + 447117423.

It is an arithmetic number, because the mean of its divisors is an integer number (455302890000).

Almost surely, 220387067759776 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 20387067759776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21854538720000).

20387067759776 is an abundant number, since it is smaller than the sum of its proper divisors (23322009680224).

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

20387067759776 is a wasteful number, since it uses less digits than its factorization.

20387067759776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71014 (or 71006 counting only the distinct ones).

The product of its (nonzero) digits is 1306912320, while the sum is 74.

The spelling of 20387067759776 in words is "twenty trillion, three hundred eighty-seven billion, sixty-seven million, seven hundred fifty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 19 29 32 38 58 76 116 152 232 304 464 551 608 928 1102 2204 4408 8816 17632 25357 45599 50714 91198 101428 182396 202856 364792 405712 481783 729584 735353 811424 866381 963566 1322371 1459168 1470706 1732762 1927132 2644742 2941412 3465524 3854264 5289484 5882824 6931048 7708528 10578968 11765648 13862096 13971707 15417056 21157936 23531296 25125049 27724192 27943414 42315872 50250098 55886828 100500196 111773656 201000392 223547312 402000784 447094624 804001568 1156253843 2312507686 4625015372 9250030744 18500061488 21968823017 33531361447 37000122976 43937646034 67062722894 87875292068 134125445788 175750584136 268250891576 351501168272 536501783152 637095867493 703002336544 1073003566304 1274191734986 2548383469972 5096766939944 10193533879888 20387067759776