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938356441345 = 5349678179301
BaseRepresentation
bin11011010011110100110…
…01110000000100000001
310022201001200012012010001
431221322121300010001
5110333223222110340
61555024111040001
7124536230102101
oct15517231600401
93281050165101
10938356441345
11331a558259a4
12131a39810001
136a64319434b
14335b95a1201
151961eaad29a
hexda7a670101

938356441345 has 16 divisors (see below), whose sum is σ = 1129434944400. Its totient is φ = 748414368000.

The previous prime is 938356441339. The next prime is 938356441367. The reversal of 938356441345 is 543144653839.

It is a Cunningham number, because it is equal to 9686882+1.

It can be written as a sum of positive squares in 8 ways, for example, as 29306700864 + 909049740481 = 171192^2 + 953441^2 .

It is a de Polignac number, because none of the positive numbers 2k-938356441345 is a prime.

It is a super-2 number, since 2×9383564413452 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11793195 + ... + 11872495.

It is an arithmetic number, because the mean of its divisors is an integer number (70589684025).

Almost surely, 2938356441345 is an apocalyptic number.

It is an amenable number.

938356441345 is a deficient number, since it is larger than the sum of its proper divisors (191078503055).

938356441345 is a wasteful number, since it uses less digits than its factorization.

938356441345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86436.

The product of its digits is 18662400, while the sum is 55.

The spelling of 938356441345 in words is "nine hundred thirty-eight billion, three hundred fifty-six million, four hundred forty-one thousand, three hundred forty-five".

Divisors: 1 5 349 1745 6781 33905 79301 396505 2366569 11832845 27676049 138380245 537740081 2688700405 187671288269 938356441345