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45043346166 = 237131727717519
BaseRepresentation
bin101001111100110010…
…101110101011110110
311022021011000001211020
4221330302232223312
51214222044034131
632405335122010
73153134060640
oct517462565366
9138234001736
1045043346166
1118114881725
128890b13306
13432aba9a70
142274313890
151289651996
hexa7ccaeaf6

45043346166 has 128 divisors (see below), whose sum is σ = 117828587520. Its totient is φ = 11139766272.

The previous prime is 45043346137. The next prime is 45043346167. The reversal of 45043346166 is 66164334054.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45043346167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2562355 + ... + 2579873.

It is an arithmetic number, because the mean of its divisors is an integer number (920535840).

Almost surely, 245043346166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45043346166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58914293760).

45043346166 is an abundant number, since it is smaller than the sum of its proper divisors (72785241354).

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

45043346166 is a wasteful number, since it uses less digits than its factorization.

45043346166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17838.

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 45043346166 in words is "forty-five billion, forty-three million, three hundred forty-six thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 182 221 238 273 277 357 442 546 554 663 714 831 1326 1547 1662 1939 3094 3601 3878 4641 4709 5817 7202 9282 9418 10803 11634 14127 17519 21606 25207 28254 32963 35038 50414 52557 61217 65926 75621 98889 105114 122434 122633 151242 183651 197778 227747 245266 297823 367302 367899 428519 455494 595646 683241 735798 857038 893469 1285557 1366482 1594229 1786938 2084761 2571114 3188458 3871699 4169522 4782687 4852763 6254283 7743398 9565374 9705526 11615097 12508566 14558289 23230194 27101893 29116578 33969341 54203786 63085919 67938682 81305679 82496971 101908023 126171838 162611358 164993942 189257757 203816046 247490913 378515514 441601433 494981826 577478797 883202866 1072460623 1154957594 1324804299 1732436391 2144921246 2649608598 3217381869 3464872782 6434763738 7507224361 15014448722 22521673083 45043346166