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6993475129 = 24123472
BaseRepresentation
bin1101000001101011…
…11111011000111001
3200001101110100100101
412200311333120321
5103310312201004
63113542235401
7335206362214
oct64065773071
920041410311
106993475129
112a696a8413
121432125b61
13875b60084
144a4b3c77b
152ade7aba4
hex1a0d7f639

6993475129 has 9 divisors (see below), whose sum is σ = 7042910511. Its totient is φ = 6944386080.

The previous prime is 6993475127. The next prime is 6993475157. The reversal of 6993475129 is 9215743996.

It is a happy number.

The square root of 6993475129 is 83627.

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., 5259585529 + 1733889600 = 72523^2 + 41640^2 .

It is not a de Polignac number, because 6993475129 - 21 = 6993475127 is a prime.

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 6993475129.

It is not an unprimeable number, because it can be changed into a prime (6993475127) 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, 20153934 + ... + 20154280.

Almost surely, 26993475129 is an apocalyptic number.

6993475129 is the 83627-th square number.

6993475129 is the 41814-th centered octagonal number.

It is an amenable number.

6993475129 is a deficient number, since it is larger than the sum of its proper divisors (49435382).

6993475129 is an frugal number, since it uses more digits than its factorization.

6993475129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 588 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 55.

The cubic root of 6993475129 is about 1912.3366347080.

The spelling of 6993475129 in words is "six billion, nine hundred ninety-three million, four hundred seventy-five thousand, one hundred twenty-nine".

Divisors: 1 241 347 58081 83627 120409 20154107 29018569 6993475129