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13200748432 = 242361672131
BaseRepresentation
bin11000100101101001…
…10110111110010000
31021001222112111112121
430102310312332100
5204013342422212
610021521504024
7645061340014
oct142264667620
937058474477
1013200748432
115664529753
122684aa2014
131324b5b861
148d32a4544
15523da7d07
hex312d36f90

13200748432 has 120 divisors (see below), whose sum is σ = 27747099072. Its totient is φ = 6070521600.

The previous prime is 13200748417. The next prime is 13200748439. The reversal of 13200748432 is 23484700231.

13200748432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13200748439) 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 23 ways as a sum of consecutive naturals, for example, 100769007 + ... + 100769137.

Almost surely, 213200748432 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 13200748432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13873549536).

13200748432 is an abundant number, since it is smaller than the sum of its proper divisors (14546350640).

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

13200748432 is a wasteful number, since it uses less digits than its factorization.

13200748432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The spelling of 13200748432 in words is "thirteen billion, two hundred million, seven hundred forty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 46 61 67 92 122 131 134 184 244 262 268 368 488 524 536 976 1048 1072 1403 1541 2096 2806 3013 3082 4087 4489 5612 6026 6164 7991 8174 8777 8978 11224 12052 12328 15982 16348 17554 17956 22448 24104 24656 31964 32696 35108 35912 48208 63928 65392 70216 71824 94001 103247 127856 140432 183793 188002 201871 206494 273829 367586 376004 403742 412988 535397 547658 588059 735172 752008 807484 825976 1070794 1095316 1176118 1470344 1504016 1614968 1651952 2141588 2190632 2352236 2940688 3229936 4283176 4381264 4704472 6298067 8566352 9408944 12314131 12596134 13525357 24628262 25192268 27050714 35871599 49256524 50384536 54101428 71743198 98513048 100769072 108202856 143486396 197026096 216405712 286972792 573945584 825046777 1650093554 3300187108 6600374216 13200748432