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629193101 = 6110939437
BaseRepresentation
bin100101100000001…
…011100110001101
31121211221022200012
4211200023212031
52242033134401
6142233443005
721410024135
oct4540134615
91554838605
10629193101
112a31880a9
12156870465
13a047a514
145d7c5ac5
153a3878bb
hex2580b98d

629193101 has 8 divisors (see below), whose sum is σ = 640160664. Its totient is φ = 618246720.

The previous prime is 629193067. The next prime is 629193133. The reversal of 629193101 is 101391926.

It can be written as a sum of positive squares in 4 ways, for example, as 122988100 + 506205001 = 11090^2 + 22499^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 629193101 - 210 = 629192077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (629193161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61955 + ... + 71391.

It is an arithmetic number, because the mean of its divisors is an integer number (80020083).

Almost surely, 2629193101 is an apocalyptic number.

629193101 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

629193101 is a deficient number, since it is larger than the sum of its proper divisors (10967563).

629193101 is a wasteful number, since it uses less digits than its factorization.

629193101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10591.

The product of its (nonzero) digits is 2916, while the sum is 32.

The square root of 629193101 is about 25083.7218330933. The cubic root of 629193101 is about 856.8957404595.

The spelling of 629193101 in words is "six hundred twenty-nine million, one hundred ninety-three thousand, one hundred one".

Divisors: 1 61 1093 9437 66673 575657 10314641 629193101