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2445023213649 = 32372140872
BaseRepresentation
bin100011100101000110101…
…111010111100001010001
322122202000212112110011100
4203211012233113201101
5310024401420314044
65111121140535013
7341434645256442
oct43450657274121
98582025473140
102445023213649
11862a23953a65
12335a413b1469
13149745850923
14864a84052c9
154390239c869
hex23946bd7851

2445023213649 has 27 divisors (see below), whose sum is σ = 3629989004187. Its totient is φ = 1585848420144.

The previous prime is 2445023213617. The next prime is 2445023213693. The reversal of 2445023213649 is 9463123205442.

The square root of 2445023213649 is 1563657.

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

2445023213649 is a `hidden beast` number, since 2 + 4 + 4 + 50 + 232 + 1 + 364 + 9 = 666.

2445023213649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2187840348225 + 257182865424 = 1479135^2 + 507132^2 .

It is not a de Polignac number, because 2445023213649 - 25 = 2445023213617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2445023213609) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 173558884 + ... + 173572970.

Almost surely, 22445023213649 is an apocalyptic number.

2445023213649 is the 1563657-th square number.

2445023213649 is the 781829-th centered octagonal number.

It is an amenable number.

2445023213649 is a deficient number, since it is larger than the sum of its proper divisors (1184965790538).

2445023213649 is an frugal number, since it uses more digits than its factorization.

2445023213649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28254 (or 14127 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 2445023213649 in words is "two trillion, four hundred forty-five billion, twenty-three million, two hundred thirteen thousand, six hundred forty-nine".

Divisors: 1 3 9 37 111 333 1369 4107 12321 14087 42261 126783 521219 1563657 4690971 19285103 57855309 173565927 198443569 595330707 1785992121 7342412053 22027236159 66081708477 271669245961 815007737883 2445023213649