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13745755828 = 22783173179191
BaseRepresentation
bin11001100110100111…
…11001011010110100
31022110222001202010201
430303103321122310
5211122403141303
610151551130244
7664426665610
oct146323713264
938428052121
1013745755828
115914136892
1227b7513984
1313b0a4173c
14945814340
15556b6181d
hex3334f96b4

13745755828 has 96 divisors (see below), whose sum is σ = 28287221760. Its totient is φ = 5723967360.

The previous prime is 13745755823. The next prime is 13745755847. The reversal of 13745755828 is 82855754731.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13745755823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71967213 + ... + 71967403.

It is an arithmetic number, because the mean of its divisors is an integer number (294658560).

Almost surely, 213745755828 is an apocalyptic number.

It is an amenable number.

13745755828 is an abundant number, since it is smaller than the sum of its proper divisors (14541465932).

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

13745755828 is a wasteful number, since it uses less digits than its factorization.

13745755828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 635 counting only the distinct ones).

The product of its digits is 9408000, while the sum is 55.

The spelling of 13745755828 in words is "thirteen billion, seven hundred forty-five million, seven hundred fifty-five thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 28 83 166 173 179 191 332 346 358 382 581 692 716 764 1162 1211 1253 1337 2324 2422 2506 2674 4844 5012 5348 14359 14857 15853 28718 29714 30967 31706 33043 34189 57436 59428 61934 63412 66086 68378 100513 103999 110971 123868 132172 136756 201026 207998 216769 221942 231301 239323 402052 415996 433538 443884 462602 478646 867076 925204 957292 2570261 2742569 2837687 5140522 5485138 5675374 5914697 10281044 10970276 11350748 11829394 17991827 19197983 19863809 23658788 35983654 38395966 39727618 41402879 71967308 76791932 79455236 82805758 165611516 490919851 981839702 1963679404 3436438957 6872877914 13745755828