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13669860288 = 263718795413
BaseRepresentation
bin11001011101100100…
…11000001111000000
31022021200020212000210
430232302120033000
5210443441012123
610140240314120
7662515616040
oct145662301700
938250225023
1013669860288
1158853093a7
122796012940
13139b0ba636
149396d9720
1555016de93
hex32ec983c0

13669860288 has 112 divisors (see below), whose sum is σ = 41364692480. Its totient is φ = 3902874624.

The previous prime is 13669860283. The next prime is 13669860311. The reversal of 13669860288 is 88206896631.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13669860283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2522670 + ... + 2528082.

Almost surely, 213669860288 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 13669860288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20682346240).

13669860288 is an abundant number, since it is smaller than the sum of its proper divisors (27694832192).

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

13669860288 is a wasteful number, since it uses less digits than its factorization.

13669860288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7314 (or 7304 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 13669860288 in words is "thirteen billion, six hundred sixty-nine million, eight hundred sixty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1879 3758 5413 5637 7516 10826 11274 13153 15032 16239 21652 22548 26306 30064 32478 37891 39459 43304 45096 52612 60128 64956 75782 78918 86608 90192 105224 113673 120256 129912 151564 157836 173216 180384 210448 227346 259824 303128 315672 346432 360768 420896 454692 519648 606256 631344 841792 909384 1039296 1212512 1262688 1818768 2425024 2525376 3637536 7275072 10171027 20342054 30513081 40684108 61026162 71197189 81368216 122052324 142394378 162736432 213591567 244104648 284788756 325472864 427183134 488209296 569577512 650945728 854366268 976418592 1139155024 1708732536 1952837184 2278310048 3417465072 4556620096 6834930144 13669860288