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15274240921 = 73216932
BaseRepresentation
bin11100011100110101…
…00110101110011001
31110102111011211111201
432032122212232121
5222240201202141
611003351554201
71050336622432
oct161632465631
943374154451
1015274240921
116528a02305
122b6338b961
1315955c82a4
14a4c810489
155e5e36031
hex38e6a6b99

15274240921 has 9 divisors (see below), whose sum is σ = 15495496029. Its totient is φ = 15056106336.

The previous prime is 15274240907. The next prime is 15274240957. The reversal of 15274240921 is 12904247251.

The square root of 15274240921 is 123589.

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

It can be written as a sum of positive squares in 4 ways, for example, as 41744521 + 15232496400 = 6461^2 + 123420^2 .

It is not a de Polignac number, because 15274240921 - 223 = 15265852313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15274240321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9021151 + ... + 9022843.

It is an arithmetic number, because the mean of its divisors is an integer number (1721721781).

Almost surely, 215274240921 is an apocalyptic number.

15274240921 is the 123589-th square number.

15274240921 is the 61795-th centered octagonal number.

It is an amenable number.

15274240921 is a deficient number, since it is larger than the sum of its proper divisors (221255108).

15274240921 is an frugal number, since it uses more digits than its factorization.

15274240921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 15274240921 in words is "fifteen billion, two hundred seventy-four million, two hundred forty thousand, nine hundred twenty-one".

Divisors: 1 73 1693 5329 123589 2866249 9021997 209236177 15274240921