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13421685904 = 2411226332
BaseRepresentation
bin11000111111111111…
…01010110010010000
31021122101021021202221
430133333222302100
5204441422422104
610055453150424
7653413306414
oct143777526220
937571237687
1013421685904
115768212300
122726a8b414
13135b866ba3
14914776d44
1553849ac54
hex31ffeac90

13421685904 has 45 divisors (see below), whose sum is σ = 28594336729. Its totient is φ = 6098449280.

The previous prime is 13421685889. The next prime is 13421685911. The reversal of 13421685904 is 40958612431.

The square root of 13421685904 is 115852.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2195859600 + 11225826304 = 46860^2 + 105952^2 .

It is a super-3 number, since 3×134216859043 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5096172 + ... + 5098804.

Almost surely, 213421685904 is an apocalyptic number.

13421685904 is the 115852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13421685904

13421685904 is an abundant number, since it is smaller than the sum of its proper divisors (15172650825).

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

13421685904 is an frugal number, since it uses more digits than its factorization.

13421685904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5296 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 13421685904 in words is "thirteen billion, four hundred twenty-one million, six hundred eighty-five thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 2633 5266 10532 21064 28963 42128 57926 115852 231704 318593 463408 637186 1274372 2548744 5097488 6932689 13865378 27730756 55461512 76259579 110923024 152519158 305038316 610076632 838855369 1220153264 1677710738 3355421476 6710842952 13421685904