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29773157401 = 13410212
BaseRepresentation
bin11011101110100111…
…100101010000011001
32211211221110002211101
4123232213211100121
5441433412014101
621402210031401
72102543443111
oct335647452031
984757402741
1029773157401
1111699197909
12592ab78561
132a663a0000
14162627a041
15b93c6b401
hex6ee9e5419

29773157401 has 15 divisors (see below), whose sum is σ = 32285788683. Its totient is φ = 27455996880.

The previous prime is 29773157357. The next prime is 29773157509. The reversal of 29773157401 is 10475137792.

The square root of 29773157401 is 172549.

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

It can be written as a sum of positive squares in 7 ways, for example, as 29549953801 + 223203600 = 171901^2 + 14940^2 .

It is not a de Polignac number, because 29773157401 - 223 = 29764768793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29773157201) 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 14 ways as a sum of consecutive naturals, for example, 29160271 + ... + 29161291.

Almost surely, 229773157401 is an apocalyptic number.

29773157401 is the 172549-th square number.

29773157401 is the 86275-th centered octagonal number.

It is an amenable number.

29773157401 is a deficient number, since it is larger than the sum of its proper divisors (2512631282).

29773157401 is an frugal number, since it uses more digits than its factorization.

29773157401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 46.

The spelling of 29773157401 in words is "twenty-nine billion, seven hundred seventy-three million, one hundred fifty-seven thousand, four hundred one".

Divisors: 1 13 169 1021 2197 13273 28561 172549 1042441 2243137 13551733 29160781 176172529 2290242877 29773157401