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102346049729 = 7111329169477
BaseRepresentation
bin101111101010001001…
…1001100100011000001
3100210011200011000110102
41133110103030203001
53134101042042404
6115003411012145
710252142032430
oct1372423144301
9323150130412
10102346049729
113a44a749a80
1217a0359a055
139860888c51
144d4c879117
1529e01a571e
hex17d44cc8c1

102346049729 has 8 divisors (see below), whose sum is σ = 127600269888. Its totient is φ = 79750168560.

The previous prime is 102346049711. The next prime is 102346049753. The reversal of 102346049729 is 927940643201.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102346049729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102346049929) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 664584662 + ... + 664584815.

It is an arithmetic number, because the mean of its divisors is an integer number (15950033736).

Almost surely, 2102346049729 is an apocalyptic number.

It is an amenable number.

102346049729 is a deficient number, since it is larger than the sum of its proper divisors (25254220159).

102346049729 is a wasteful number, since it uses less digits than its factorization.

102346049729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329169495.

The product of its (nonzero) digits is 653184, while the sum is 47.

The spelling of 102346049729 in words is "one hundred two billion, three hundred forty-six million, forty-nine thousand, seven hundred twenty-nine".

Divisors: 1 7 11 77 1329169477 9304186339 14620864247 102346049729