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18348362500 = 225513112913
BaseRepresentation
bin10001000101101001…
…011100101100000100
31202100201200101112111
4101011221130230010
5300034140100000
612232405030404
71216455336136
oct210551345404
952321611474
1018348362500
117866199356
1236809b5404
131965462340
14c60bcd056
15725c6bcba
hex445a5cb04

18348362500 has 72 divisors (see below), whose sum is σ = 43222124232. Its totient is φ = 6774720000.

The previous prime is 18348362479. The next prime is 18348362537. The reversal of 18348362500 is 526384381.

It can be written as a sum of positive squares in 12 ways, for example, as 18343451844 + 4910656 = 135438^2 + 2216^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106044 + ... + 218956.

It is an arithmetic number, because the mean of its divisors is an integer number (600307281).

Almost surely, 218348362500 is an apocalyptic number.

18348362500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18348362500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21611062116).

18348362500 is an abundant number, since it is smaller than the sum of its proper divisors (24873761732).

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

18348362500 is a wasteful number, since it uses less digits than its factorization.

18348362500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112955 (or 112933 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 18348362500 in words is "eighteen billion, three hundred forty-eight million, three hundred sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 625 650 1250 1300 1625 2500 3125 3250 6250 6500 8125 12500 16250 32500 40625 81250 112913 162500 225826 451652 564565 1129130 1467869 2258260 2822825 2935738 5645650 5871476 7339345 11291300 14114125 14678690 28228250 29357380 36696725 56456500 70570625 73393450 141141250 146786900 183483625 282282500 352853125 366967250 705706250 733934500 917418125 1411412500 1834836250 3669672500 4587090625 9174181250 18348362500