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13372378321 = 19725872
BaseRepresentation
bin11000111010000111…
…00100110011010001
31021111221111012111011
430131003210303101
5204341312101241
610050532250521
7652244224501
oct143503446321
937457435434
1013372378321
1157423a4835
122712470a41
1313515919c3
1490bdbda01
15533eab281
hex31d0e4cd1

13372378321 has 9 divisors (see below), whose sum is σ = 13463539099. Its totient is φ = 13281832984.

The previous prime is 13372378291. The next prime is 13372378343. The reversal of 13372378321 is 12387327331.

It is a happy number.

The square root of 13372378321 is 115639.

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., 13102236225 + 270142096 = 114465^2 + 16436^2 .

It is not a de Polignac number, because 13372378321 - 229 = 12835507409 is a prime.

It is a Duffinian number.

Its product of digits (127008) is a multiple of the sum of its prime divisors (784).

It is not an unprimeable number, because it can be changed into a prime (13372378351) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22780590 + ... + 22781176.

Almost surely, 213372378321 is an apocalyptic number.

13372378321 is the 115639-th square number.

13372378321 is the 57820-th centered octagonal number.

It is an amenable number.

13372378321 is a deficient number, since it is larger than the sum of its proper divisors (91160778).

13372378321 is an frugal number, since it uses more digits than its factorization.

13372378321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 784 counting only the distinct ones).

The product of its digits is 127008, while the sum is 40.

The spelling of 13372378321 in words is "thirteen billion, three hundred seventy-two million, three hundred seventy-eight thousand, three hundred twenty-one".

Divisors: 1 197 587 38809 115639 344569 22780883 67880093 13372378321