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5656353000 = 233533160821
BaseRepresentation
bin1010100010010010…
…10001100011101000
3112121012102111121120
411101021101203220
543041011244000
62333135135240
7260112131034
oct52111214350
915535374546
105656353000
112442955801
12111a374520
136c1b2844c
143b93171c4
152318a66a0
hex1512518e8

5656353000 has 128 divisors (see below), whose sum is σ = 18217405440. Its totient is φ = 1459680000.

The previous prime is 5656352983. The next prime is 5656353007. The reversal of 5656353000 is 3536565.

It is not an unprimeable number, because it can be changed into a prime (5656353007) 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, 62590 + ... + 123410.

It is an arithmetic number, because the mean of its divisors is an integer number (142323480).

Almost surely, 25656353000 is an apocalyptic number.

5656353000 is a gapful number since it is divisible by the number (50) 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 5656353000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9108702720).

5656353000 is an abundant number, since it is smaller than the sum of its proper divisors (12561052440).

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

5656353000 is a wasteful number, since it uses less digits than its factorization.

5656353000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60876 (or 60862 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 33.

The square root of 5656353000 is about 75208.7295465094. The cubic root of 5656353000 is about 1781.7448068273.

Adding to 5656353000 its reverse (3536565), we get a palindrome (5659889565).

The spelling of 5656353000 in words is "five billion, six hundred fifty-six million, three hundred fifty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 125 150 155 186 200 248 250 300 310 372 375 465 500 600 620 744 750 775 930 1000 1240 1500 1550 1860 2325 3000 3100 3720 3875 4650 6200 7750 9300 11625 15500 18600 23250 31000 46500 60821 93000 121642 182463 243284 304105 364926 486568 608210 729852 912315 1216420 1459704 1520525 1824630 1885451 2432840 3041050 3649260 3770902 4561575 5656353 6082100 7298520 7541804 7602625 9123150 9427255 11312706 12164200 15083608 15205250 18246300 18854510 22625412 22807875 28281765 30410500 36492600 37709020 45250824 45615750 47136275 56563530 60821000 75418040 91231500 94272550 113127060 141408825 182463000 188545100 226254120 235681375 282817650 377090200 471362750 565635300 707044125 942725500 1131270600 1414088250 1885451000 2828176500 5656353000