Search a number
-
+
1335530334544 = 247167190137561
BaseRepresentation
bin10011011011110011110…
…011111010100101010000
311201200020101221110101121
4103123303303322211100
5133340131231201134
62501311214012024
7165326454352510
oct23336363724520
94650211843347
101335530334544
1147543906943a
12196a024a7014
1398c2b164533
14488d62a5840
1524b18311ab4
hex136f3cfa950

1335530334544 has 80 divisors (see below), whose sum is σ = 2976597985536. Its totient is φ = 568628352000.

The previous prime is 1335530334529. The next prime is 1335530334569. The reversal of 1335530334544 is 4454330355331.

It is a self number, because there is not a number n which added to its sum of digits gives 1335530334544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35537524 + ... + 35575084.

Almost surely, 21335530334544 is an apocalyptic number.

1335530334544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1335530334544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488298992768).

1335530334544 is an abundant number, since it is smaller than the sum of its proper divisors (1641067650992).

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

1335530334544 is a wasteful number, since it uses less digits than its factorization.

1335530334544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39644 (or 39638 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 43.

Adding to 1335530334544 its reverse (4454330355331), we get a palindrome (5789860689875).

The spelling of 1335530334544 in words is "one trillion, three hundred thirty-five billion, five hundred thirty million, three hundred thirty-four thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 167 334 668 1169 1336 1901 2338 2672 3802 4676 7604 9352 13307 15208 18704 26614 30416 37561 53228 75122 106456 150244 212912 262927 300488 317467 525854 600976 634934 1051708 1269868 2103416 2222269 2539736 4206832 4444538 5079472 6272687 8889076 12545374 17778152 25090748 35556304 43908809 50181496 71403461 87817618 100362992 142806922 175635236 285613844 351270472 499824227 571227688 702540944 999648454 1142455376 1999296908 3998593816 7997187632 11924377987 23848755974 47697511948 83470645909 95395023896 166941291818 190790047792 333882583636 667765167272 1335530334544