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1348459686444 = 2231397563915803
BaseRepresentation
bin10011100111110110011…
…101011110101000101100
311202220121110210120212210
4103213312131132220230
5134043121134431234
62511250202530420
7166265042134143
oct23476635365054
94686543716783
101348459686444
1147a97337a932
12199410506a10
139a20b9cb710
14493a14c075a
152512345abe9
hex139f675ea2c

1348459686444 has 96 divisors (see below), whose sum is σ = 3424193256960. Its totient is φ = 410534443008.

The previous prime is 1348459686419. The next prime is 1348459686451. The reversal of 1348459686444 is 4446869548431.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85321447 + ... + 85337249.

It is an arithmetic number, because the mean of its divisors is an integer number (35668679760).

Almost surely, 21348459686444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1348459686444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712096628480).

1348459686444 is an abundant number, since it is smaller than the sum of its proper divisors (2075733570516).

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

1348459686444 is a wasteful number, since it uses less digits than its factorization.

1348459686444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21559 (or 21557 counting only the distinct ones).

The product of its digits is 318504960, while the sum is 66.

It can be divided in two parts, 134845 and 9686444, that added together give a palindrome (9821289).

The spelling of 1348459686444 in words is "one trillion, three hundred forty-eight billion, four hundred fifty-nine million, six hundred eighty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 97 156 194 291 388 582 1164 1261 2522 3783 5044 5639 7566 11278 15132 15803 16917 22556 31606 33834 47409 63212 67668 73307 94818 146614 189636 205439 219921 293228 410878 439842 546983 616317 821756 879684 1093966 1232634 1532891 1640949 2187932 2465268 3065782 3281898 4598673 6131564 6563796 7110779 9197346 14221558 18394692 19927583 21332337 28443116 39855166 42664674 59782749 79710332 85329348 89113117 119565498 178226234 239130996 267339351 356452468 534678702 1069357404 1158470521 2316941042 3475411563 4633882084 6950823126 8643972349 13901646252 17287944698 25931917047 34575889396 51863834094 103727668188 112371640537 224743281074 337114921611 449486562148 674229843222 1348459686444