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13830149800818 = 232132674272
BaseRepresentation
bin1100100101000001010100…
…1010101000001101110010
31210222011000220210211201200
43021100111022220031302
53303043121322111233
645225252203512030
72625124001442351
oct311202512501562
953864026724650
1013830149800818
11445237401404a
121674461228616
13794240059200
1435b55066b998
1518eb497e3313
hexc94152a8372

13830149800818 has 54 divisors (see below), whose sum is σ = 32448140381709. Its totient is φ = 4255367596272.

The previous prime is 13830149800757. The next prime is 13830149800879. The reversal of 13830149800818 is 81800894103831.

13830149800818 is a `hidden beast` number, since 138 + 3 + 0 + 1 + 498 + 0 + 0 + 8 + 18 = 666.

It is an interprime number because it is at equal distance from previous prime (13830149800757) and next prime (13830149800879).

It can be written as a sum of positive squares in 2 ways, for example, as 11825187255729 + 2004962545089 = 3438777^2 + 1415967^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2629653.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 205079221 + ... + 205146647.

Almost surely, 213830149800818 is an apocalyptic number.

13830149800818 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13830149800818 is an abundant number, since it is smaller than the sum of its proper divisors (18617990580891).

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

13830149800818 is an frugal number, since it uses more digits than its factorization.

13830149800818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134888 (or 67445 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 13830149800818 in words is "thirteen trillion, eight hundred thirty billion, one hundred forty-nine million, eight hundred thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 3042 67427 134854 202281 404562 606843 876551 1213686 1753102 2629653 5259306 7888959 11395163 15777918 22790326 34185489 68370978 102556467 205112934 4546400329 9092800658 13639200987 27278401974 40917602961 59103204277 81835205922 118206408554 177309612831 354619225662 531928838493 768341655601 1063857676986 1536683311202 2305024966803 4610049933606 6915074900409 13830149800818