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10042009979 = 191573366413
BaseRepresentation
bin10010101101000110…
…01110100101111011
3221220211210221222112
421112203032211323
5131031223304404
64340243042535
7503564451011
oct112643164573
927824727875
1010042009979
1142934a8801
121b4307044b
13c40608b51
146b397a8b1
153db90a56e
hex2568ce97b

10042009979 has 8 divisors (see below), whose sum is σ = 10637868240. Its totient is φ = 9452884896.

The previous prime is 10042009963. The next prime is 10042010023. The reversal of 10042009979 is 97990024001.

It is a happy number.

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 10042009979 - 24 = 10042009963 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10042009909) 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 7 ways as a sum of consecutive naturals, for example, 1680224 + ... + 1686189.

It is an arithmetic number, because the mean of its divisors is an integer number (1329733530).

Almost surely, 210042009979 is an apocalyptic number.

10042009979 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10042009979 is a deficient number, since it is larger than the sum of its proper divisors (595858261).

10042009979 is a wasteful number, since it uses less digits than its factorization.

10042009979 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366589.

The product of its (nonzero) digits is 40824, while the sum is 41.

The spelling of 10042009979 in words is "ten billion, forty-two million, nine thousand, nine hundred seventy-nine".

Divisors: 1 19 157 2983 3366413 63961847 528526841 10042009979