Search a number
-
+
2161148544 = 27321875997
BaseRepresentation
bin1000000011010000…
…1000001010000000
312120121120201110200
42000310020022000
513411223223134
6554240525200
7104361313422
oct20064101200
95517521420
102161148544
11a09a03985
12503920800
1328597a829
14167046812
15c9ae5499
hex80d08280

2161148544 has 48 divisors (see below), whose sum is σ = 6218933370. Its totient is φ = 720382464.

The previous prime is 2161148537. The next prime is 2161148551. The reversal of 2161148544 is 4458411612.

It is an interprime number because it is at equal distance from previous prime (2161148537) and next prime (2161148551).

It can be written as a sum of positive squares in only one way, i.e., 2161134144 + 14400 = 46488^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2161148499 and 2161148508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 936847 + ... + 939150.

Almost surely, 22161148544 is an apocalyptic number.

2161148544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2161148544 is an abundant number, since it is smaller than the sum of its proper divisors (4057784826).

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

2161148544 is a wasteful number, since it uses less digits than its factorization.

2161148544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876017 (or 1876002 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 2161148544 is about 46488.1548784204. The cubic root of 2161148544 is about 1292.8898903693.

The spelling of 2161148544 in words is "two billion, one hundred sixty-one million, one hundred forty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1875997 3751994 5627991 7503988 11255982 15007976 16883973 22511964 30015952 33767946 45023928 60031904 67535892 90047856 120063808 135071784 180095712 240127616 270143568 360191424 540287136 720382848 1080574272 2161148544