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14820038272 = 27138906273
BaseRepresentation
bin11011100110101011…
…11101011010000000
31102020211111221121101
431303111331122000
5220322412211042
610450324504144
71033153150444
oct156325753200
942224457541
1014820038272
116315586116
122a5724b054
131522489720
14a0837a824
155bb1176b7
hex37357d680

14820038272 has 32 divisors (see below), whose sum is σ = 31795398180. Its totient is φ = 6840016896.

The previous prime is 14820038263. The next prime is 14820038297. The reversal of 14820038272 is 27283002841.

It can be written as a sum of positive squares in 2 ways, for example, as 14800182336 + 19855936 = 121656^2 + 4456^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4451473 + ... + 4454800.

Almost surely, 214820038272 is an apocalyptic number.

It is an amenable number.

14820038272 is an abundant number, since it is smaller than the sum of its proper divisors (16975359908).

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

14820038272 is an equidigital number, since it uses as much as digits as its factorization.

14820038272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8906300 (or 8906288 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The spelling of 14820038272 in words is "fourteen billion, eight hundred twenty million, thirty-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 8906273 17812546 35625092 71250184 115781549 142500368 231563098 285000736 463126196 570001472 926252392 1140002944 1852504784 3705009568 7410019136 14820038272