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13590122839345 = 513233897333961
BaseRepresentation
bin1100010111000011001001…
…1100011011110100110001
31210010012111000201211112201
43011300302130123310301
53240130032421324340
644523114413023201
72601565625102563
oct305606234336461
953105430654481
1013590122839345
11436a5a205a2a8
121635a34784b01
1377770a207860
1434daa05a1333
1518879c30d79a
hexc5c3271bd31

13590122839345 has 16 divisors (see below), whose sum is σ = 17637996357072. Its totient is φ = 9992710978560.

The previous prime is 13590122839343. The next prime is 13590122839429. The reversal of 13590122839345 is 54393822109531.

It is a happy number.

13590122839345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 600953644944 + 12989169194401 = 775212^2 + 3604049^2 .

It is not a de Polignac number, because 13590122839345 - 21 = 13590122839343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13590122839343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 448651836 + ... + 448682125.

It is an arithmetic number, because the mean of its divisors is an integer number (1102374772317).

Almost surely, 213590122839345 is an apocalyptic number.

It is an amenable number.

13590122839345 is a deficient number, since it is larger than the sum of its proper divisors (4047873517727).

13590122839345 is a wasteful number, since it uses less digits than its factorization.

13590122839345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897334212.

The product of its (nonzero) digits is 6998400, while the sum is 55.

The spelling of 13590122839345 in words is "thirteen trillion, five hundred ninety billion, one hundred twenty-two million, eight hundred thirty-nine thousand, three hundred forty-five".

Divisors: 1 5 13 65 233 1165 3029 15145 897333961 4486669805 11665341493 58326707465 209078812913 1045394064565 2718024567869 13590122839345