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13664871744 = 263194779699
BaseRepresentation
bin11001011100111110…
…10110010101000000
31022021022212102000220
430232133112111000
5210441201343434
610135541343040
7662425331136
oct145637262500
938238772026
1013664871744
115882511437
122794407a80
13139a061b34
14938b9b756
1554e9d5d49
hex32e7d6540

13664871744 has 112 divisors (see below), whose sum is σ = 38868096000. Its totient is φ = 4223356416.

The previous prime is 13664871739. The next prime is 13664871811. The reversal of 13664871744 is 44717846631.

It is a happy number.

13664871744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131607 + ... + 211305.

Almost surely, 213664871744 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 13664871744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19434048000).

13664871744 is an abundant number, since it is smaller than the sum of its proper divisors (25203224256).

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

13664871744 is a wasteful number, since it uses less digits than its factorization.

13664871744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79780 (or 79770 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 51.

The spelling of 13664871744 in words is "thirteen billion, six hundred sixty-four million, eight hundred seventy-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 47 48 57 64 76 94 96 114 141 152 188 192 228 282 304 376 456 564 608 752 893 912 1128 1216 1504 1786 1824 2256 2679 3008 3572 3648 4512 5358 7144 9024 10716 14288 21432 28576 42864 57152 79699 85728 159398 171456 239097 318796 478194 637592 956388 1275184 1514281 1912776 2550368 3028562 3745853 3825552 4542843 5100736 6057124 7491706 7651104 9085686 11237559 12114248 14983412 15302208 18171372 22475118 24228496 29966824 36342744 44950236 48456992 59933648 71171207 72685488 89900472 96913984 119867296 142342414 145370976 179800944 213513621 239734592 284684828 290741952 359601888 427027242 569369656 719203776 854054484 1138739312 1708108968 2277478624 3416217936 4554957248 6832435872 13664871744