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45553242144 = 2533160125469
BaseRepresentation
bin101010011011001011…
…110101000000100000
311100120200110110121110
4222123023311000200
51221243112222034
632532112023320
73201565112064
oct523313650040
9140520413543
1045553242144
1118356688063
1289b3831b40
1343ac718267
1422c1d23aa4
1512b92c1de9
hexa9b2f5020

45553242144 has 96 divisors (see below), whose sum is σ = 123644828160. Its totient is φ = 14669568000.

The previous prime is 45553242107. The next prime is 45553242157. The reversal of 45553242144 is 44124235554.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1775842 + ... + 1801310.

It is an arithmetic number, because the mean of its divisors is an integer number (1287966960).

Almost surely, 245553242144 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 45553242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61822414080).

45553242144 is an abundant number, since it is smaller than the sum of its proper divisors (78091586016).

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

45553242144 is a wasteful number, since it uses less digits than its factorization.

45553242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26114 (or 26106 counting only the distinct ones).

The product of its digits is 384000, while the sum is 39.

Adding to 45553242144 its reverse (44124235554), we get a palindrome (89677477698).

The spelling of 45553242144 in words is "forty-five billion, five hundred fifty-three million, two hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 601 744 992 1202 1488 1803 2404 2976 3606 4808 7212 9616 14424 18631 19232 25469 28848 37262 50938 55893 57696 74524 76407 101876 111786 149048 152814 203752 223572 298096 305628 407504 447144 596192 611256 789539 815008 894288 1222512 1579078 1788576 2368617 2445024 3158156 4737234 6316312 9474468 12632624 15306869 18948936 25265248 30613738 37897872 45920607 61227476 75795744 91841214 122454952 183682428 244909904 367364856 474512939 489819808 734729712 949025878 1423538817 1469459424 1898051756 2847077634 3796103512 5694155268 7592207024 11388310536 15184414048 22776621072 45553242144