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13590002077444 = 2213271219972
BaseRepresentation
bin1100010111000010101100…
…1111110000111100000100
31210010012011121111111100201
43011300223033300330010
53240124311012434234
644523054420420244
72601562630456222
oct305605317607404
953105147444321
1013590002077444
11436a53a978081
121635a00247684
137776bb1a4c00
1434da8c527b12
15188791907314
hexc5c2b3f0f04

13590002077444 has 81 divisors (see below), whose sum is σ = 26133560318271. Its totient is φ = 6180869647680.

The previous prime is 13590002077429. The next prime is 13590002077447. The reversal of 13590002077444 is 44477020009531.

The square root of 13590002077444 is 3686462.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9838497943044 + 3751504134400 = 3136638^2 + 1936880^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13590002077394 and 13590002077403.

It is not an unprimeable number, because it can be changed into a prime (13590002077447) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6805207854 + ... + 6805209850.

Almost surely, 213590002077444 is an apocalyptic number.

13590002077444 is the 3686462-nd square number.

It is an amenable number.

13590002077444 is a deficient number, since it is larger than the sum of its proper divisors (12543558240827).

13590002077444 is an frugal number, since it uses more digits than its factorization.

13590002077444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 13590002077444 in words is "thirteen trillion, five hundred ninety billion, two million, seventy-seven thousand, four hundred forty-four".

Divisors: 1 2 4 13 26 52 71 142 169 284 338 676 923 1846 1997 3692 3994 5041 7988 10082 11999 20164 23998 25961 47996 51922 65533 103844 131066 141787 262132 283574 337493 567148 674986 851929 1349972 1703858 1843231 3407716 3686462 3988009 7372924 7976018 10066877 15952036 20133754 23962003 40267508 47924006 51844117 95848012 103688234 130869401 207376468 261738802 283148639 523477604 566297278 673973521 1132594556 1347947042 1701302213 2695894084 3402604426 3680932307 6805208852 7361864614 14723729228 20103553369 40207106738 47852119991 80414213476 95704239982 191408479964 261346193797 522692387594 1045384775188 3397500519361 6795001038722 13590002077444