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2113700625 = 32546132
BaseRepresentation
bin111110111111100…
…1000001100010001
312110022022010011100
41331333020030101
513312101410000
6545423535013
7103244105331
oct17577101421
95408263140
102113700625
11995146623
124aba5a469
13278ba6c3a
14160a150c1
15c5871a00
hex7dfc8311

2113700625 has 45 divisors (see below), whose sum is σ = 3821416599. Its totient is φ = 1125468000.

The previous prime is 2113700597. The next prime is 2113700639. The reversal of 2113700625 is 5260073112.

It is a happy number.

The square root of 2113700625 is 45975.

It is a perfect power (a square), and thus also a powerful number.

2113700625 is a `hidden beast` number, since 2 + 1 + 1 + 37 + 0 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 2006950401 + 106750224 = 44799^2 + 10332^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is a de Polignac number, because none of the positive numbers 2k-2113700625 is a prime.

It is a super-3 number, since 3×21137006253 (a number of 29 digits) contains 333 as substring.

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 44 ways as a sum of consecutive naturals, for example, 3447819 + ... + 3448431.

Almost surely, 22113700625 is an apocalyptic number.

2113700625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2113700625 is the 45975-th square number.

2113700625 is the 22988-th centered octagonal number.

It is an amenable number.

2113700625 is a deficient number, since it is larger than the sum of its proper divisors (1707715974).

2113700625 is an frugal number, since it uses more digits than its factorization.

2113700625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The cubic root of 2113700625 is about 1283.3580091206.

Adding to 2113700625 its reverse (5260073112), we get a palindrome (7373773737).

The spelling of 2113700625 in words is "two billion, one hundred thirteen million, seven hundred thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 613 625 1125 1839 1875 3065 5517 5625 9195 15325 27585 45975 76625 137925 229875 375769 383125 689625 1127307 1149375 1878845 3381921 3448125 5636535 9394225 16909605 28182675 46971125 84548025 140913375 234855625 422740125 704566875 2113700625