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13445793936 = 243432212
BaseRepresentation
bin11001000010110111…
…01000100010010000
31021201001122002210000
430201123220202100
5210014110401221
610102114010000
7654125235261
oct144133504220
937631562700
1013445793936
11577a888aa3
122732b76900
1313638580b3
14917a50968
1553a65de26
hex3216e8890

13445793936 has 75 divisors (see below), whose sum is σ = 38928114313. Its totient is φ = 4480539840.

The previous prime is 13445793931. The next prime is 13445793937. The reversal of 13445793936 is 63939754431.

The square root of 13445793936 is 115956.

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

13445793936 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 579 + 39 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10372200336 + 3073593600 = 101844^2 + 55440^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13445793931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4172806 + ... + 4176026.

Almost surely, 213445793936 is an apocalyptic number.

13445793936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13445793936 is the 115956-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13445793936

13445793936 is an abundant number, since it is smaller than the sum of its proper divisors (25482320377).

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

13445793936 is an frugal number, since it uses more digits than its factorization.

13445793936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6462 (or 3226 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 54.

The spelling of 13445793936 in words is "thirteen billion, four hundred forty-five million, seven hundred ninety-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 3221 6442 9663 12884 19326 25768 28989 38652 51536 57978 77304 86967 115956 154608 173934 231912 260901 347868 463824 521802 695736 1043604 1391472 2087208 4174416 10374841 20749682 31124523 41499364 62249046 82998728 93373569 124498092 165997456 186747138 248996184 280120707 373494276 497992368 560241414 746988552 840362121 1120482828 1493977104 1680724242 2240965656 3361448484 4481931312 6722896968 13445793936