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2093118132 = 2237176124029
BaseRepresentation
bin111110011000010…
…0111001010110100
312101212120102021210
41330300213022310
513241314240012
6543410441420
7102604132140
oct17460471264
95355512253
102093118132
119845686a6
124a4b93270
1327484b651
1415bdb8220
15c3b5823c
hex7cc272b4

2093118132 has 96 divisors (see below), whose sum is σ = 6007115520. Its totient is φ = 553605120.

The previous prime is 2093118119. The next prime is 2093118133. The reversal of 2093118132 is 2318113902.

It is a super-2 number, since 2×20931181322 = 8762287029014338848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2093118132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2093118133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75094 + ... + 99122.

It is an arithmetic number, because the mean of its divisors is an integer number (62574120).

Almost surely, 22093118132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2093118132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003557760).

2093118132 is an abundant number, since it is smaller than the sum of its proper divisors (3913997388).

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

2093118132 is a wasteful number, since it uses less digits than its factorization.

2093118132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24121 (or 24119 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 2093118132 is about 45750.6079959600. The cubic root of 2093118132 is about 1279.1787806912.

The spelling of 2093118132 in words is "two billion, ninety-three million, one hundred eighteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 61 68 84 102 119 122 183 204 238 244 357 366 427 476 714 732 854 1037 1281 1428 1708 2074 2562 3111 4148 5124 6222 7259 12444 14518 21777 24029 29036 43554 48058 72087 87108 96116 144174 168203 288348 336406 408493 504609 672812 816986 1009218 1225479 1465769 1633972 2018436 2450958 2859451 2931538 4397307 4901916 5718902 5863076 8578353 8794614 10260383 11437804 17156706 17589228 20520766 24918073 30781149 34313412 41041532 49836146 61562298 74754219 99672292 123124596 149508438 174426511 299016876 348853022 523279533 697706044 1046559066 2093118132