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13797321444 = 2232195772
BaseRepresentation
bin11001101100110001…
…00110101011100100
31022121120002112212100
430312120212223210
5211224103241234
610201032252100
7665624203644
oct146630465344
938546075770
1013797321444
1159402568a5
122810841030
1313bb62763a
1494c5d8524
1555b44a399
hex336626ae4

13797321444 has 27 divisors (see below), whose sum is σ = 34878344137. Its totient is φ = 4598872224.

The previous prime is 13797321437. The next prime is 13797321467. The reversal of 13797321444 is 44412379731.

The square root of 13797321444 is 117462.

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

13797321444 is a `hidden beast` number, since 137 + 9 + 73 + 2 + 1 + 444 = 666.

13797321444 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., 13085072100 + 712249344 = 114390^2 + 26688^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13797321444.

It is an unprimeable number.

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, 694984 + ... + 714560.

Almost surely, 213797321444 is an apocalyptic number.

13797321444 is the 117462-nd square number.

It is an amenable number.

13797321444 is an abundant number, since it is smaller than the sum of its proper divisors (21081022693).

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

13797321444 is an frugal number, since it uses more digits than its factorization.

13797321444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39164 (or 19582 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

It can be divided in two parts, 13797 and 321444, that added together give a square (335241 = 5792).

The spelling of 13797321444 in words is "thirteen billion, seven hundred ninety-seven million, three hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 19577 39154 58731 78308 117462 176193 234924 352386 704772 383258929 766517858 1149776787 1533035716 2299553574 3449330361 4599107148 6898660722 13797321444