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13824736230 = 2351451317591
BaseRepresentation
bin11001110000000010…
…01011101111100110
31022200110200100212210
430320001023233212
5211303113024410
610203452024250
7666406214304
oct147001135746
938613610783
1013824736230
115954780a48
122819a62086
1313c42059c6
149520d3274
1555da63220
hex33804bbe6

13824736230 has 32 divisors (see below), whose sum is σ = 33202338048. Its totient is φ = 3684044000.

The previous prime is 13824736213. The next prime is 13824736253. The reversal of 13824736230 is 3263742831.

13824736230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138247362302 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 115266 + ... + 202325.

It is an arithmetic number, because the mean of its divisors is an integer number (1037573064).

Almost surely, 213824736230 is an apocalyptic number.

13824736230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13824736230 is an abundant number, since it is smaller than the sum of its proper divisors (19377601818).

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

13824736230 is a wasteful number, since it uses less digits than its factorization.

13824736230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319052.

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 13824736230 in words is "thirteen billion, eight hundred twenty-four million, seven hundred thirty-six thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 1451 2902 4353 7255 8706 14510 21765 43530 317591 635182 952773 1587955 1905546 3175910 4763865 9527730 460824541 921649082 1382473623 2304122705 2764947246 4608245410 6912368115 13824736230