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5609183104 = 277411071427
BaseRepresentation
bin1010011100101010…
…10101011110000000
3112110220200000200101
411032111111132000
542441422324404
62324332132144
7256000161340
oct51625253600
915426600611
105609183104
112419268318
121106607054
136b5121275
143b2d58d20
1522c68a2a4
hex14e555780

5609183104 has 128 divisors (see below), whose sum is σ = 13213912320. Its totient is φ = 2321756160.

The previous prime is 5609183089. The next prime is 5609183113. The reversal of 5609183104 is 4013819065.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 3930039 + ... + 3931465.

It is an arithmetic number, because the mean of its divisors is an integer number (103233690).

Almost surely, 25609183104 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 5609183104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6606956160).

5609183104 is an abundant number, since it is smaller than the sum of its proper divisors (7604729216).

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

5609183104 is a wasteful number, since it uses less digits than its factorization.

5609183104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 5609183104 is about 74894.4797965778. The cubic root of 5609183104 is about 1776.7781537134.

The spelling of 5609183104 in words is "five billion, six hundred nine million, one hundred eighty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 107 112 128 164 214 224 287 328 428 448 574 656 749 856 896 1148 1312 1427 1498 1712 2296 2624 2854 2996 3424 4387 4592 5248 5708 5992 6848 8774 9184 9989 11416 11984 13696 17548 18368 19978 22832 23968 30709 35096 36736 39956 45664 47936 58507 61418 70192 79912 91328 95872 117014 122836 140384 152689 159824 182656 234028 245672 280768 305378 319648 409549 468056 491344 561536 610756 639296 819098 936112 982688 1068823 1221512 1278592 1638196 1872224 1965376 2137646 2443024 3276392 3744448 3930752 4275292 4886048 6260249 6552784 7488896 8550584 9772096 12520498 13105568 17101168 19544192 25040996 26211136 34202336 43821743 50081992 52422272 68404672 87643486 100163984 136809344 175286972 200327968 350573944 400655936 701147888 801311872 1402295776 2804591552 5609183104