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2470073424 = 2437134313151
BaseRepresentation
bin1001001100111010…
…0101010001010000
320101010212201201220
42103032211101100
520024314322144
61045034125040
7115132164150
oct22316452120
96333781656
102470073424
1110583237a5
1258b280780
13304981a10
141960a0760
15e6cb8919
hex933a5450

2470073424 has 160 divisors (see below), whose sum is σ = 8036818944. Its totient is φ = 636249600.

The previous prime is 2470073423. The next prime is 2470073461. The reversal of 2470073424 is 4243700742.

It is a super-2 number, since 2×24700734242 = 12202525439902167552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2470073423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181249 + ... + 194399.

Almost surely, 22470073424 is an apocalyptic number.

2470073424 is a gapful number since it is divisible by the number (24) 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 2470073424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4018409472).

2470073424 is an abundant number, since it is smaller than the sum of its proper divisors (5566745520).

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

2470073424 is a wasteful number, since it uses less digits than its factorization.

2470073424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13225 (or 13219 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 33.

The square root of 2470073424 is about 49699.8332391568. The cubic root of 2470073424 is about 1351.7715059161.

The spelling of 2470073424 in words is "two billion, four hundred seventy million, seventy-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 43 48 52 56 78 84 86 91 104 112 129 156 168 172 182 208 258 273 301 312 336 344 364 516 546 559 602 624 688 728 903 1032 1092 1118 1204 1456 1677 1806 2064 2184 2236 2408 3354 3612 3913 4368 4472 4816 6708 7224 7826 8944 11739 13151 13416 14448 15652 23478 26302 26832 31304 39453 46956 52604 62608 78906 92057 93912 105208 157812 170963 184114 187824 210416 276171 315624 341926 368228 512889 552342 565493 631248 683852 736456 1025778 1104684 1130986 1196741 1367704 1472912 1696479 2051556 2209368 2261972 2393482 2735408 3392958 3590223 3958451 4103112 4418736 4523944 4786964 6785916 7180446 7351409 7916902 8206224 9047888 9573928 11875353 13571832 14360892 14702818 15833804 19147856 22054227 23750706 27143664 28721784 29405636 31667608 44108454 47501412 51459863 57443568 58811272 63335216 88216908 95002824 102919726 117622544 154379589 176433816 190005648 205839452 308759178 352867632 411678904 617518356 823357808 1235036712 2470073424