Search a number
-
+
45066101124 = 223111637512789
BaseRepresentation
bin101001111110001001…
…100010000110000100
311022022201211010202110
4221332021202012010
51214243410213444
632411510541020
73153531352632
oct517611420604
9138281733673
1045066101124
1118126703880
128898667770
134332816135
142277358352
15128b648cb9
hexa7e262184

45066101124 has 96 divisors (see below), whose sum is σ = 115612600320. Its totient is φ = 13549680000.

The previous prime is 45066101117. The next prime is 45066101251. The reversal of 45066101124 is 42110166054.

It is a junction number, because it is equal to n+sod(n) for n = 45066101091 and 45066101100.

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, 16157122 + ... + 16159910.

It is an arithmetic number, because the mean of its divisors is an integer number (1204297920).

Almost surely, 245066101124 is an apocalyptic number.

45066101124 is a gapful number since it is divisible by the number (44) 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 45066101124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57806300160).

45066101124 is an abundant number, since it is smaller than the sum of its proper divisors (70546499196).

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

45066101124 is a wasteful number, since it uses less digits than its factorization.

45066101124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3721 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 45066101124 its reverse (42110166054), we get a palindrome (87176267178).

The spelling of 45066101124 in words is "forty-five billion, sixty-six million, one hundred one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 163 326 489 652 751 978 1502 1793 1956 2253 2789 3004 3586 4506 5379 5578 7172 8261 8367 9012 10758 11156 16522 16734 21516 24783 30679 33044 33468 49566 61358 92037 99132 122413 122716 184074 244826 367239 368148 454607 489652 734478 909214 1346543 1363821 1468956 1818428 2094539 2693086 2727642 4039629 4189078 5000677 5386172 5455284 6283617 8079258 8378156 10001354 12567234 15002031 16158516 20002708 23039929 25134468 30004062 46079858 60008124 69119787 92159716 138239574 276479148 341409857 682819714 1024229571 1365639428 2048459142 3755508427 4096918284 7511016854 11266525281 15022033708 22533050562 45066101124