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5045334624 = 2532112954917
BaseRepresentation
bin1001011001011100…
…11011001001100000
3111000121200112222100
410230232123021200
540313101201444
62152351010400
7236012431251
oct45456331140
914017615870
105045334624
112159a61640
12b89809a00
13625372605
1435c102b28
151e7e0de69
hex12cb9b260

5045334624 has 144 divisors (see below), whose sum is σ = 16192023120. Its totient is φ = 1476142080.

The previous prime is 5045334611. The next prime is 5045334643. The reversal of 5045334624 is 4264335405.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64414 + ... + 119330.

It is an arithmetic number, because the mean of its divisors is an integer number (112444605).

Almost surely, 25045334624 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 5045334624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8096011560).

5045334624 is an abundant number, since it is smaller than the sum of its proper divisors (11146688496).

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

5045334624 is a wasteful number, since it uses less digits than its factorization.

5045334624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54973 (or 54962 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The square root of 5045334624 is about 71030.5189619223. The cubic root of 5045334624 is about 1715.1284798079.

The spelling of 5045334624 in words is "five billion, forty-five million, three hundred thirty-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 29 32 33 36 44 48 58 66 72 87 88 96 99 116 132 144 174 176 198 232 261 264 288 319 348 352 396 464 522 528 638 696 792 928 957 1044 1056 1276 1392 1584 1914 2088 2552 2784 2871 3168 3828 4176 5104 5742 7656 8352 10208 11484 15312 22968 30624 45936 54917 91872 109834 164751 219668 329502 439336 494253 604087 659004 878672 988506 1208174 1318008 1592593 1757344 1812261 1977012 2416348 2636016 3185186 3624522 3954024 4777779 4832696 5272032 5436783 6370372 7249044 7908048 9555558 9665392 10873566 12740744 14333337 14498088 15816096 17518523 19111116 19330784 21747132 25481488 28666674 28996176 35037046 38222232 43494264 50962976 52555569 57333348 57992352 70074092 76444464 86988528 105111138 114666696 140148184 152888928 157666707 173977056 210222276 229333392 280296368 315333414 420444552 458666784 560592736 630666828 840889104 1261333656 1681778208 2522667312 5045334624