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1085418648534 = 231124139299281
BaseRepresentation
bin11111100101101111111…
…11100011001111010110
310211202122200200100212110
433302313333203033112
5120240414133223114
62150345012331450
7141263454166533
oct17626777431726
93752580610773
101085418648534
11389361591900
12156440613b86
137b47bbcca5c
143a76aaddd8a
151d37a7d5759
hexfcb7fe33d6

1085418648534 has 96 divisors (see below), whose sum is σ = 2445210724320. Its totient is φ = 320776192000.

The previous prime is 1085418648499. The next prime is 1085418648539. The reversal of 1085418648534 is 4358468145801.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085418648539) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116945974 + ... + 116955254.

It is an arithmetic number, because the mean of its divisors is an integer number (25470945045).

Almost surely, 21085418648534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085418648534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222605362160).

1085418648534 is an abundant number, since it is smaller than the sum of its proper divisors (1359792075786).

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

1085418648534 is a wasteful number, since it uses less digits than its factorization.

1085418648534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13278 (or 13267 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 57.

The spelling of 1085418648534 in words is "one trillion, eighty-five billion, four hundred eighteen million, six hundred forty-eight thousand, five hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 41 66 82 121 123 242 246 363 451 726 902 1353 2706 3929 4961 7858 9281 9922 11787 14883 18562 23574 27843 29766 43219 55686 86438 102091 129657 161089 204182 259314 306273 322178 380521 475409 483267 612546 761042 950818 966534 1123001 1141563 1426227 1771979 2246002 2283126 2852454 3369003 3543958 4185731 5315937 6738006 8371462 10631874 12557193 19491769 25114386 36465049 38983538 46043041 58475307 72930098 92086082 109395147 116950614 138129123 218790294 276258246 401115539 802231078 1203346617 1495067009 2406693234 2990134018 4412270929 4485201027 8824541858 8970402054 13236812787 16445737099 26473625574 32891474198 49337211297 98674422594 180903108089 361806216178 542709324267 1085418648534