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6450067000 = 2353131074637
BaseRepresentation
bin1100000000111010…
…00011011000111000
3121122111221100112101
412000131003120320
5101202204121000
62544011153144
7315560444026
oct60035033070
917574840471
106450067000
11280a992893
1213001457b4
137ba3ba0c0
144528c7716
1527b3dae6a
hex180743638

6450067000 has 128 divisors (see below), whose sum is σ = 16409615040. Its totient is φ = 2358796800.

The previous prime is 6450066989. The next prime is 6450067027. The reversal of 6450067000 is 7600546.

It is a self number, because there is not a number n which added to its sum of digits gives 6450067000.

It is a congruent number.

It is an unprimeable number.

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, 1388682 + ... + 1393318.

Almost surely, 26450067000 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 6450067000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8204807520).

6450067000 is an abundant number, since it is smaller than the sum of its proper divisors (9959548040).

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

6450067000 is a wasteful number, since it uses less digits than its factorization.

6450067000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4778 (or 4764 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 6450067000 is about 80312.3091437421. The cubic root of 6450067000 is about 1861.4644303999.

Adding to 6450067000 its reverse (7600546), we get a palindrome (6457667546).

The spelling of 6450067000 in words is "six billion, four hundred fifty million, sixty-seven thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 107 125 130 200 214 250 260 325 428 500 520 535 650 856 1000 1070 1300 1391 1625 2140 2600 2675 2782 3250 4280 4637 5350 5564 6500 6955 9274 10700 11128 13000 13375 13910 18548 21400 23185 26750 27820 34775 37096 46370 53500 55640 60281 69550 92740 107000 115925 120562 139100 173875 185480 231850 241124 278200 301405 347750 463700 482248 496159 579625 602810 695500 927400 992318 1159250 1205620 1391000 1507025 1984636 2318500 2411240 2480795 3014050 3969272 4637000 4961590 6028100 6450067 7535125 9923180 12056200 12403975 12900134 15070250 19846360 24807950 25800268 30140500 32250335 49615900 51600536 60281000 62019875 64500670 99231800 124039750 129001340 161251675 248079500 258002680 322503350 496159000 645006700 806258375 1290013400 1612516750 3225033500 6450067000