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2161555540 = 2253710128921
BaseRepresentation
bin1000000011010110…
…1011100001010100
312120122100101202121
42000311223201110
513411324234130
6554253345324
7104364630124
oct20065534124
95518311677
102161555540
11a0a161741
12503a98244
13285a90b61
14167110c84
15c9b75d7a
hex80d6b854

2161555540 has 48 divisors (see below), whose sum is σ = 4708270224. Its totient is φ = 832896000.

The previous prime is 2161555523. The next prime is 2161555573. The reversal of 2161555540 is 455551612.

It can be written as a sum of positive squares in 8 ways, for example, as 638370756 + 1523184784 = 25266^2 + 39028^2 .

It is a super-4 number, since 4×21615555404 (a number of 38 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2161555496 and 2161555505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60280 + ... + 89200.

It is an arithmetic number, because the mean of its divisors is an integer number (98088963).

Almost surely, 22161555540 is an apocalyptic number.

2161555540 is a gapful number since it is divisible by the number (20) 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 2161555540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354135112).

2161555540 is an abundant number, since it is smaller than the sum of its proper divisors (2546714684).

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

2161555540 is a wasteful number, since it uses less digits than its factorization.

2161555540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29068 (or 29066 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 34.

The square root of 2161555540 is about 46492.5320884978. The cubic root of 2161555540 is about 1292.9710459793.

The spelling of 2161555540 in words is "two billion, one hundred sixty-one million, five hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 37 74 101 148 185 202 370 404 505 740 1010 2020 3737 7474 14948 18685 28921 37370 57842 74740 115684 144605 289210 578420 1070077 2140154 2921021 4280308 5350385 5842042 10700770 11684084 14605105 21401540 29210210 58420420 108077777 216155554 432311108 540388885 1080777770 2161555540