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13964709264 = 24311136119433
BaseRepresentation
bin11010000000101110…
…01000110110010000
31100001020001201210020
431000113020312100
5212044431144024
610225412103440
71003026033042
oct150027106620
940036051706
1013964709264
115a16794840
122858904b80
13141720399c
1496692ba92
1556aeb1979
hex3405c8d90

13964709264 has 80 divisors (see below), whose sum is σ = 39386032704. Its totient is φ = 4228403200.

The previous prime is 13964709263. The next prime is 13964709277. The reversal of 13964709264 is 46290746931.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13964709263) 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 15 ways as a sum of consecutive naturals, for example, 708892 + ... + 728324.

Almost surely, 213964709264 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 13964709264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19693016352).

13964709264 is an abundant number, since it is smaller than the sum of its proper divisors (25421323440).

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

13964709264 is a wasteful number, since it uses less digits than its factorization.

13964709264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20816 (or 20810 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 13964709264 in words is "thirteen billion, nine hundred sixty-four million, seven hundred nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1361 2722 4083 5444 8166 10888 14971 16332 19433 21776 29942 32664 38866 44913 58299 59884 65328 77732 89826 116598 119768 155464 179652 213763 233196 239536 310928 359304 427526 466392 641289 718608 855052 932784 1282578 1710104 2565156 3420208 5130312 10260624 26448313 52896626 79344939 105793252 158689878 211586504 290931443 317379756 423173008 581862886 634759512 872794329 1163725772 1269519024 1745588658 2327451544 3491177316 4654903088 6982354632 13964709264