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13421437704 = 23321091938861
BaseRepresentation
bin11000111111111101…
…01110001100001000
31021122100210200022100
430133332232030020
5204441342001304
610055443553400
7653411223663
oct143776561410
937570720270
1013421437704
115768062884
12272698b860
13135b7aac1c
149147106da
1553844c439
hex31ffae308

13421437704 has 96 divisors (see below), whose sum is σ = 36877440600. Its totient is φ = 4409303040.

The previous prime is 13421437681. The next prime is 13421437717. The reversal of 13421437704 is 40773412431.

13421437704 is a `hidden beast` number, since 134 + 21 + 437 + 70 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13319468100 + 101969604 = 115410^2 + 10098^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1510234 + ... + 1519094.

Almost surely, 213421437704 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 13421437704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18438720300).

13421437704 is an abundant number, since it is smaller than the sum of its proper divisors (23456002896).

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

13421437704 is a wasteful number, since it uses less digits than its factorization.

13421437704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9175 (or 9168 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 13421437704 in words is "thirteen billion, four hundred twenty-one million, four hundred thirty-seven thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 193 218 327 386 436 579 654 772 872 981 1158 1308 1544 1737 1962 2316 2616 3474 3924 4632 6948 7848 8861 13896 17722 21037 26583 35444 42074 53166 63111 70888 79749 84148 106332 126222 159498 168296 189333 212664 252444 318996 378666 504888 637992 757332 965849 1514664 1710173 1931698 2897547 3420346 3863396 5130519 5795094 6840692 7726792 8692641 10261038 11590188 13681384 15391557 17385282 20522076 23180376 30783114 34770564 41044152 61566228 69541128 123132456 186408857 372817714 559226571 745635428 1118453142 1491270856 1677679713 2236906284 3355359426 4473812568 6710718852 13421437704