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24030890361 = 32516732
BaseRepresentation
bin10110011000010110…
…100100100101111001
32022000202100201022100
4112120112210211321
5343203401442421
615012321214013
71510336124562
oct263026444571
968022321270
1024030890361
11a2118a1675
1247a7a91309
13235c82366a
14123d79b169
15959a93c26
hex5985a4979

24030890361 has 9 divisors (see below), whose sum is σ = 34711957839. Its totient is φ = 16020283536.

The previous prime is 24030890327. The next prime is 24030890371. The reversal of 24030890361 is 16309803042.

The square root of 24030890361 is 155019.

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

It can be written as a sum of positive squares in only one way, i.e., 23763764025 + 267126336 = 154155^2 + 16344^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 24030890361 - 229 = 23494019449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (24030890371) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 439221 + ... + 490893.

Almost surely, 224030890361 is an apocalyptic number.

24030890361 is the 155019-th square number.

24030890361 is the 77510-th centered octagonal number.

It is an amenable number.

24030890361 is a deficient number, since it is larger than the sum of its proper divisors (10681067478).

24030890361 is an frugal number, since it uses more digits than its factorization.

24030890361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103352 (or 51676 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Multiplying 24030890361 by its sum of digits (36), we get a square (865112052996 = 9301142).

The spelling of 24030890361 in words is "twenty-four billion, thirty million, eight hundred ninety thousand, three hundred sixty-one".

Divisors: 1 3 9 51673 155019 465057 2670098929 8010296787 24030890361