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13818300432 = 243436694913
BaseRepresentation
bin11001101111010001…
…01000100000010000
31022200000120101121220
430313220220200100
5211244441103212
610203102045040
7666300421116
oct146750504020
938600511556
1013818300432
115951085702
122817879780
1313c2a91541
149512d9ab6
1555d1e138c
hex337a28810

13818300432 has 40 divisors (see below), whose sum is σ = 36527450784. Its totient is φ = 4498980864.

The previous prime is 13818300427. The next prime is 13818300439. The reversal of 13818300432 is 23400381831.

It is a super-2 number, since 2×138183004322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13818300393 and 13818300402.

It is not an unprimeable number, because it can be changed into a prime (13818300439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3345393 + ... + 3349520.

Almost surely, 213818300432 is an apocalyptic number.

13818300432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13818300432 is an abundant number, since it is smaller than the sum of its proper divisors (22709150352).

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

13818300432 is a wasteful number, since it uses less digits than its factorization.

13818300432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6694967 (or 6694961 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 13818300432 in words is "thirteen billion, eight hundred eighteen million, three hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 2064 6694913 13389826 20084739 26779652 40169478 53559304 80338956 107118608 160677912 287881259 321355824 575762518 863643777 1151525036 1727287554 2303050072 3454575108 4606100144 6909150216 13818300432