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10384066917 = 34722990217
BaseRepresentation
bin10011010101111000…
…00100100101100101
3222210200110020220000
421222330010211211
5132231310120132
64434222331513
7515220053400
oct115274044545
928720406800
1010384066917
114449598194
122019729b99
13c964407c3
1470717ad37
1540b97587c
hex26af04965

10384066917 has 60 divisors (see below), whose sum is σ = 18667006380. Its totient is φ = 5729076864.

The previous prime is 10384066907. The next prime is 10384066937. The reversal of 10384066917 is 71966048301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7536670596 + 2847396321 = 86814^2 + 53361^2 .

It is not a de Polignac number, because 10384066917 - 26 = 10384066853 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10384066907) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 69993 + ... + 160209.

It is an arithmetic number, because the mean of its divisors is an integer number (311116773).

Almost surely, 210384066917 is an apocalyptic number.

It is an amenable number.

10384066917 is a deficient number, since it is larger than the sum of its proper divisors (8282939463).

10384066917 is an equidigital number, since it uses as much as digits as its factorization.

10384066917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90272 (or 90256 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10384066917 in words is "ten billion, three hundred eighty-four million, sixty-six thousand, nine hundred seventeen".

Divisors: 1 3 7 9 21 27 29 49 63 81 87 147 189 203 261 441 567 609 783 1323 1421 1827 2349 3969 4263 5481 12789 16443 38367 90217 115101 270651 631519 811953 1894557 2435859 2616293 4420633 5683671 7307577 7848879 13261899 17051013 18314051 23546637 39785697 51153039 54942153 70639911 119357091 128198357 164826459 211919733 358071273 384595071 494479377 1153785213 1483438131 3461355639 10384066917