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13669117224 = 2337211939743
BaseRepresentation
bin11001011101011111…
…00010110100101000
31022021121212002201220
430232233202310220
5210443243222344
610140212342040
7662506402500
oct145657426450
938247762656
1013669117224
1158849510a4
122795914920
13139abba359
14939584a00
15550073c19
hex32ebe2d28

13669117224 has 96 divisors (see below), whose sum is σ = 39789429120. Its totient is φ = 3901787904.

The previous prime is 13669117193. The next prime is 13669117283. The reversal of 13669117224 is 42271196631.

It is a Cunningham number, because it is equal to 1169152-1.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1398097 + ... + 1407839.

It is an arithmetic number, because the mean of its divisors is an integer number (414473220).

Almost surely, 213669117224 is an apocalyptic number.

13669117224 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 13669117224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19894714560).

13669117224 is an abundant number, since it is smaller than the sum of its proper divisors (26120311896).

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

13669117224 is a wasteful number, since it uses less digits than its factorization.

13669117224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10959 (or 10948 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The spelling of 13669117224 in words is "thirteen billion, six hundred sixty-nine million, one hundred seventeen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 1193 2386 3579 4772 7158 8351 9544 9743 14316 16702 19486 25053 28632 29229 33404 38972 50106 58457 58458 66808 68201 77944 100212 116914 116916 136402 175371 200424 204603 233828 233832 272804 350742 409206 467656 477407 545608 701484 818412 954814 1402968 1432221 1636824 1909628 2864442 3819256 5728884 11457768 11623399 23246798 34870197 46493596 69740394 81363793 92987192 139480788 162727586 244091379 278961576 325455172 488182758 569546551 650910344 976365516 1139093102 1708639653 1952731032 2278186204 3417279306 4556372408 6834558612 13669117224