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20006834818446 = 23271948487172357
BaseRepresentation
bin1001000110010001101000…
…10010000100110110001110
32121211122010201101020221200
410203020310102010312032
510110242444203142241
6110315002452010330
74133306006021160
oct443106422046616
977748121336850
1020006834818446
11641393a750323
1222b15606009a6
13b218373038c8
144d249bc9a930
1524a654e224b6
hex123234484d8e

20006834818446 has 96 divisors (see below), whose sum is σ = 52149518952960. Its totient is φ = 5415240754368.

The previous prime is 20006834818441. The next prime is 20006834818469. The reversal of 20006834818446 is 64481843860002.

It is a happy number.

20006834818446 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 6 + 83 + 481 + 84 + 4 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20006834818392 and 20006834818401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20006834818441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115991700 + ... + 116164056.

It is an arithmetic number, because the mean of its divisors is an integer number (543224155760).

Almost surely, 220006834818446 is an apocalyptic number.

20006834818446 is an abundant number, since it is smaller than the sum of its proper divisors (32142684134514).

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

20006834818446 is a wasteful number, since it uses less digits than its factorization.

20006834818446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220878 (or 220875 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 20006834818446 in words is "twenty trillion, six billion, eight hundred thirty-four million, eight hundred eighteen thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 2394 48487 96974 145461 172357 290922 339409 344714 436383 517071 678818 872766 921253 1018227 1034142 1206499 1551213 1842506 2036454 2412998 2763759 3054681 3102426 3274783 3619497 5527518 6109362 6448771 6549566 7238994 8291277 9824349 10858491 12897542 16582554 19346313 19648698 21716982 22923481 29473047 38692626 45846962 58038939 58946094 68770443 116077878 137540886 206311329 412622658 8357073859 16714147718 25071221577 50142443154 58499517013 75213664731 116999034026 150427329462 158784403321 175498551039 317568806642 350997102078 476353209963 526495653117 952706419926 1052991306234 1111490823247 1429059629889 2222981646494 2858119259778 3334472469741 6668944939482 10003417409223 20006834818446