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20084349171696 = 24310923091662517
BaseRepresentation
bin1001001000100010000000…
…11111110111011111110000
32122010001012211022101121220
410210101000133313133300
510113030221341443241
6110414342253345040
74142021616114225
oct444210037673760
978101184271556
1020084349171696
1164437a7567197
122304593a98180
13b28c3b493414
144d613287d94c
1524c69009d166
hex1244407f77f0

20084349171696 has 80 divisors (see below), whose sum is σ = 52383282151200. Its totient is φ = 6630486211584.

The previous prime is 20084349171661. The next prime is 20084349171697. The reversal of 20084349171696 is 69617194348002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20084349171697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11249430 + ... + 12911946.

It is an arithmetic number, because the mean of its divisors is an integer number (654791026890).

Almost surely, 220084349171696 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 20084349171696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26191641075600).

20084349171696 is an abundant number, since it is smaller than the sum of its proper divisors (32298932979504).

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

20084349171696 is a wasteful number, since it uses less digits than its factorization.

20084349171696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664946 (or 1664940 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 20084349171696 in words is "twenty trillion, eighty-four billion, three hundred forty-nine million, one hundred seventy-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 327 436 654 872 1308 1744 2309 2616 4618 5232 6927 9236 13854 18472 27708 36944 55416 110832 251681 503362 755043 1006724 1510086 1662517 2013448 3020172 3325034 4026896 4987551 6040344 6650068 9975102 12080688 13300136 19950204 26600272 39900408 79800816 181214353 362428706 543643059 724857412 1087286118 1449714824 2174572236 2899429648 3838751753 4349144472 7677503506 8698288944 11516255259 15355007012 23032510518 30710014024 46065021036 61420028048 92130042072 184260084144 418423941077 836847882154 1255271823231 1673695764308 2510543646462 3347391528616 5021087292924 6694783057232 10042174585848 20084349171696