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10074333677 is a prime number
BaseRepresentation
bin10010110000111101…
…00010000111101101
3222000002122011202112
421120132202013231
5131113012134202
64343355533405
7504436265132
oct113036420755
928002564675
1010074333677
1142aa776001
121b51a5a265
13c472156b5
146b7d92589
153de692b52
hex2587a21ed

10074333677 has 2 divisors, whose sum is σ = 10074333678. Its totient is φ = 10074333676.

The previous prime is 10074333667. The next prime is 10074333761. The reversal of 10074333677 is 77633347001.

10074333677 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7974311401 + 2100022276 = 89299^2 + 45826^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10074333677 is a prime.

It is a super-3 number, since 3×100743336773 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10074333667) 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 as a sum of consecutive naturals, namely, 5037166838 + 5037166839.

It is an arithmetic number, because the mean of its divisors is an integer number (5037166839).

Almost surely, 210074333677 is an apocalyptic number.

It is an amenable number.

10074333677 is a deficient number, since it is larger than the sum of its proper divisors (1).

10074333677 is an equidigital number, since it uses as much as digits as its factorization.

10074333677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 222264, while the sum is 41.

The spelling of 10074333677 in words is "ten billion, seventy-four million, three hundred thirty-three thousand, six hundred seventy-seven".