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1105540369428 = 22311237157131071
BaseRepresentation
bin10000000101100111010…
…101110100110000010100
310220200121000020200210110
4100011213111310300110
5121103121313310203
62203513410523020
7142605215043045
oct20054725646024
93820530220713
101105540369428
11396947798600
1215a317296470
1380337884991
143b71922c8cc
151db57096d03
hex10167574c14

1105540369428 has 144 divisors (see below), whose sum is σ = 2930625216512. Its totient is φ = 323879212800.

The previous prime is 1105540369403. The next prime is 1105540369457. The reversal of 1105540369428 is 8249630455011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8369133 + ... + 8500203.

Almost surely, 21105540369428 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 1105540369428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465312608256).

1105540369428 is an abundant number, since it is smaller than the sum of its proper divisors (1825084847084).

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

1105540369428 is a wasteful number, since it uses less digits than its factorization.

1105540369428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131294 (or 131281 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 1105540369428 in words is "one trillion, one hundred five billion, five hundred forty million, three hundred sixty-nine thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 121 132 148 157 222 242 314 363 407 444 471 484 628 726 814 942 1221 1452 1628 1727 1884 2442 3454 4477 4884 5181 5809 6908 8954 10362 11618 13431 17427 17908 18997 20724 23236 26862 34854 37994 53724 56991 63899 69708 75988 113982 127798 131071 191697 227964 255596 262142 383394 393213 524284 702889 766788 786426 1405778 1441781 1572852 2108667 2811556 2883562 4217334 4325343 4849627 5767124 8434668 8650686 9699254 14548881 15859591 17301372 19398508 20578147 29097762 31719182 41156294 47578773 53345897 58195524 61734441 63438364 82312588 95157546 106691794 123468882 160037691 190315092 213383588 226359617 246937764 320075382 452719234 586804867 640150764 679078851 761391439 905438468 1173609734 1358157702 1522782878 1760414601 2284174317 2347219468 2489955787 2716315404 3045565756 3520829202 4568348634 4979911574 7041658404 7469867361 8375305829 9136697268 9959823148 14939734722 16750611658 25125917487 29879469444 33501223316 50251834974 92128364119 100503669948 184256728238 276385092357 368513456476 552770184714 1105540369428