Search a number
-
+
45411222492 = 223218123812927
BaseRepresentation
bin101010010010101110…
…000100001111011100
311100012210020010021100
4222102232010033130
51221000233104432
632510040033100
73165222010446
oct522256041734
9140183203240
1045411222492
11182934a6649
128974162790
13438918186c
1422ab115496
1512ababc07c
hexa92b843dc

45411222492 has 72 divisors (see below), whose sum is σ = 115511602752. Its totient is φ = 15041980800.

The previous prime is 45411222473. The next prime is 45411222499. The reversal of 45411222492 is 29422211454.

45411222492 is a `hidden beast` number, since 4 + 5 + 41 + 122 + 2 + 492 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45411222499) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15513133 + ... + 15516059.

It is an arithmetic number, because the mean of its divisors is an integer number (1604327816).

Almost surely, 245411222492 is an apocalyptic number.

It is an amenable number.

45411222492 is an abundant number, since it is smaller than the sum of its proper divisors (70100380260).

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

45411222492 is a wasteful number, since it uses less digits than its factorization.

45411222492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5499 (or 5494 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 45411222492 in words is "forty-five billion, four hundred eleven million, two hundred twenty-two thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 181 362 543 724 1086 1629 2172 2381 2927 3258 4762 5854 6516 7143 8781 9524 11708 14286 17562 21429 26343 28572 35124 42858 52686 85716 105372 430961 529787 861922 1059574 1292883 1589361 1723844 2119148 2585766 3178722 3878649 4768083 5171532 6357444 6969187 7757298 9536166 13938374 15514596 19072332 20907561 27876748 41815122 62722683 83630244 125445366 250890732 1261422847 2522845694 3784268541 5045691388 7568537082 11352805623 15137074164 22705611246 45411222492