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5445129024 = 263222941281
BaseRepresentation
bin1010001001000111…
…00001001101000000
3112001110222012210100
411010203201031000
542122423112044
62300152002400
7251635555506
oct50443411500
915043865710
105445129024
1123446a7035
12107b690400
1368a14144a
14399252676
1521d081869
hex1448e1340

5445129024 has 84 divisors (see below), whose sum is σ = 15676013860. Its totient is φ = 1807073280.

The previous prime is 5445128989. The next prime is 5445129031. The reversal of 5445129024 is 4209215445.

It is a happy number.

5445129024 is a `hidden beast` number, since 54 + 4 + 512 + 90 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3914754624 + 1530374400 = 62568^2 + 39120^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 5445129024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111264 + ... + 152544.

Almost surely, 25445129024 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 5445129024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7838006930).

5445129024 is an abundant number, since it is smaller than the sum of its proper divisors (10230884836).

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

5445129024 is a wasteful number, since it uses less digits than its factorization.

5445129024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41528 (or 41515 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5445129024 is about 73791.1175142374. The cubic root of 5445129024 is about 1759.2844267356.

It can be divided in two parts, 544512 and 9024, that added together give a square (553536 = 7442).

The spelling of 5445129024 in words is "five billion, four hundred forty-five million, one hundred twenty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 229 288 458 576 687 916 1374 1832 2061 2748 3664 4122 5496 7328 8244 10992 14656 16488 21984 32976 41281 43968 65952 82562 123843 131904 165124 247686 330248 371529 495372 660496 743058 990744 1320992 1486116 1981488 2641984 2972232 3962976 5944464 7925952 9453349 11888928 18906698 23777856 28360047 37813396 56720094 75626792 85080141 113440188 151253584 170160282 226880376 302507168 340320564 453760752 605014336 680641128 907521504 1361282256 1815043008 2722564512 5445129024