Search a number
-
+
13882185377445 = 3571119632589901
BaseRepresentation
bin1100101000000011001010…
…1110100110011010100101
31211011010100100221000112110
43022000302232212122211
53304421203424034240
645305215442511233
72631645331523010
oct312006256463245
954133310830473
1013882185377445
114472446812a30
121682563965519
1379911374b638
1435dc89478377
15191192c26c80
hexca032ba66a5

13882185377445 has 64 divisors (see below), whose sum is σ = 29149742684160. Its totient is φ = 5465576736000.

The previous prime is 13882185377261. The next prime is 13882185377527. The reversal of 13882185377445 is 54477358128831.

It is not a de Polignac number, because 13882185377445 - 28 = 13882185377189 is a prime.

It is a super-2 number, since 2×138821853774452 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 316273006 + ... + 316316895.

It is an arithmetic number, because the mean of its divisors is an integer number (455464729440).

Almost surely, 213882185377445 is an apocalyptic number.

13882185377445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13882185377445 is an abundant number, since it is smaller than the sum of its proper divisors (15267557306715).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13882185377445 is a wasteful number, since it uses less digits than its factorization.

13882185377445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632589946.

The product of its digits is 180633600, while the sum is 66.

The spelling of 13882185377445 in words is "thirteen trillion, eight hundred eighty-two billion, one hundred eighty-five million, three hundred seventy-seven thousand, four hundred forty-five".

Divisors: 1 3 5 7 11 15 19 21 33 35 55 57 77 95 105 133 165 209 231 285 385 399 627 665 1045 1155 1463 1995 3135 4389 7315 21945 632589901 1897769703 3162949505 4428129307 6958488911 9488848515 12019208119 13284387921 20875466733 22140646535 34792444555 36057624357 48709422377 60096040595 66421939605 84134456833 104377333665 132211289309 146128267131 180288121785 243547111885 252403370499 396633867927 420672284165 661056446545 730641335655 925479025163 1262016852495 1983169339635 2776437075489 4627395125815 13882185377445