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5205188337 = 329166335977
BaseRepresentation
bin1001101100100000…
…01101111011110001
3111102202110222001020
410312100031323301
541130012011322
62220301130053
7242663241126
oct46620157361
914382428036
105205188337
112231214048
121013259929
1364c5115cb
1437543474d
15206e8805c
hex13640def1

5205188337 has 16 divisors (see below), whose sum is σ = 7184087040. Its totient is φ = 3348358272.

The previous prime is 5205188321. The next prime is 5205188363. The reversal of 5205188337 is 7338815025.

5205188337 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5205188337 - 24 = 5205188321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5205188137) by changing a digit.

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, 126693 + ... + 162669.

It is an arithmetic number, because the mean of its divisors is an integer number (449005440).

Almost surely, 25205188337 is an apocalyptic number.

It is an amenable number.

5205188337 is a deficient number, since it is larger than the sum of its proper divisors (1978898703).

5205188337 is a wasteful number, since it uses less digits than its factorization.

5205188337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37672.

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 5205188337 is about 72146.9911846641. The cubic root of 5205188337 is about 1733.0542166402.

The spelling of 5205188337 in words is "five billion, two hundred five million, one hundred eighty-eight thousand, three hundred thirty-seven".

Divisors: 1 3 29 87 1663 4989 35977 48227 107931 144681 1043333 3129999 59829751 179489253 1735062779 5205188337