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5054505624 = 23347322741
BaseRepresentation
bin1001011010100010…
…11010001010011000
3111001020221111020000
410231101122022120
540322423134444
62153315333000
7236153406000
oct45521321230
914036844200
105054505624
112164155983
12b908b1160
13627233a3c
1435d40d000
151e8b21469
hex12d45a298

5054505624 has 160 divisors (see below), whose sum is σ = 16510692000. Its totient is φ = 1444080960.

The previous prime is 5054505623. The next prime is 5054505629. The reversal of 5054505624 is 4265054505.

5054505624 is a `hidden beast` number, since 50 + 5 + 45 + 0 + 562 + 4 = 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 (5054505623) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 210894 + ... + 233634.

It is an arithmetic number, because the mean of its divisors is an integer number (103191825).

Almost surely, 25054505624 is an apocalyptic number.

5054505624 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5054505624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255346000).

5054505624 is an abundant number, since it is smaller than the sum of its proper divisors (11456186376).

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

5054505624 is a wasteful number, since it uses less digits than its factorization.

5054505624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22780 (or 22753 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The square root of 5054505624 is about 71095.0464097183. The cubic root of 5054505624 is about 1716.1670579204.

The spelling of 5054505624 in words is "five billion, fifty-four million, five hundred five thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 343 378 392 441 504 567 588 648 686 756 882 1029 1134 1176 1323 1372 1512 1764 2058 2268 2646 2744 3087 3528 3969 4116 4536 5292 6174 7938 8232 9261 10584 12348 15876 18522 22741 24696 27783 31752 37044 45482 55566 68223 74088 90964 111132 136446 159187 181928 204669 222264 272892 318374 409338 477561 545784 614007 636748 818676 955122 1114309 1228014 1273496 1432683 1637352 1842021 1910244 2228618 2456028 2865366 3342927 3684042 3820488 4298049 4457236 4912056 5730732 6685854 7368084 7800163 8596098 8914472 10028781 11461464 12894147 13371708 14736168 15600326 17192196 20057562 23400489 25788294 26743416 30086343 31200652 34384392 40115124 46800978 51576588 60172686 62401304 70201467 80230248 90259029 93601956 103153176 120345372 140402934 180518058 187203912 210604401 240690744 280805868 361036116 421208802 561611736 631813203 722072232 842417604 1263626406 1684835208 2527252812 5054505624