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13364023232 = 267214712897
BaseRepresentation
bin11000111001000111…
…01100111111000000
31021111100202201110102
430130203230333000
5204332142220412
610050033221532
7652113215600
oct143443547700
937440681412
1013364023232
1157387084aa
12270b7018a8
13134c927a71
1490ac46c00
155333aa8c2
hex31c8ecfc0

13364023232 has 84 divisors (see below), whose sum is σ = 30880531584. Its totient is φ = 5721569280.

The previous prime is 13364023207. The next prime is 13364023237. The reversal of 13364023232 is 23232046331.

13364023232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13364023195 and 13364023204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13364023237) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4611608 + ... + 4614504.

It is an arithmetic number, because the mean of its divisors is an integer number (367625376).

Almost surely, 213364023232 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 13364023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15440265792).

13364023232 is an abundant number, since it is smaller than the sum of its proper divisors (17516508352).

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

13364023232 is a wasteful number, since it uses less digits than its factorization.

13364023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4394 (or 4377 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 13364023232 its reverse (23232046331), we get a palindrome (36596069563).

The spelling of 13364023232 in words is "thirteen billion, three hundred sixty-four million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1471 1568 2897 2942 3136 5794 5884 10297 11588 11768 20279 20594 23176 23536 40558 41188 46352 47072 72079 81116 82376 92704 94144 141953 144158 162232 164752 185408 283906 288316 324464 329504 567812 576632 648928 659008 1135624 1153264 1297856 2271248 2306528 4261487 4542496 4613056 8522974 9084992 17045948 29830409 34091896 59660818 68183792 119321636 136367584 208812863 238643272 272735168 417625726 477286544 835251452 954573088 1670502904 1909146176 3341005808 6682011616 13364023232