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13408811724 = 22371168321247
BaseRepresentation
bin11000111110011101…
…00011101011001100
31021121111001012201110
430133032203223030
5204430123433344
610054313212020
7653166006360
oct143716435314
937544035643
1013408811724
115760a19790
122722701010
131358caa029
14912b852a0
155372a63b9
hex31f3a3acc

13408811724 has 96 divisors (see below), whose sum is σ = 39066402816. Its totient is φ = 3477545280.

The previous prime is 13408811723. The next prime is 13408811737. The reversal of 13408811724 is 42711880431.

It is not an unprimeable number, because it can be changed into a prime (13408811723) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 620469 + ... + 641715.

It is an arithmetic number, because the mean of its divisors is an integer number (406941696).

Almost surely, 213408811724 is an apocalyptic number.

13408811724 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13408811724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19533201408).

13408811724 is an abundant number, since it is smaller than the sum of its proper divisors (25657591092).

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

13408811724 is a wasteful number, since it uses less digits than its factorization.

13408811724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21955 (or 21953 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 13408811724 in words is "thirteen billion, four hundred eight million, eight hundred eleven thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 683 924 1366 2049 2732 4098 4781 7513 8196 9562 14343 15026 19124 21247 22539 28686 30052 42494 45078 52591 57372 63741 84988 90156 105182 127482 148729 157773 210364 233717 254964 297458 315546 446187 467434 594916 631092 701151 892374 934868 1402302 1636019 1784748 2804604 3272038 4908057 6544076 9816114 14511701 19632228 29023402 43535103 58046804 87070206 101581907 159628711 174140412 203163814 304745721 319257422 406327628 478886133 609491442 638514844 957772266 1117400977 1218982884 1915544532 2234801954 3352202931 4469603908 6704405862 13408811724