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5640491250 = 232542321799
BaseRepresentation
bin1010100000011001…
…10001000011110010
3112120002120122101100
411100030301003302
543022431210000
62331411145230
7256530245622
oct52014610362
915502518340
105640491250
112434a01619
121114ba5216
136bb7637b4
143b7188882
152302c1a00
hex1503310f2

5640491250 has 120 divisors (see below), whose sum is σ = 15936148800. Its totient is φ = 1438668000.

The previous prime is 5640491249. The next prime is 5640491293. The reversal of 5640491250 is 521940465.

5640491250 is a `hidden beast` number, since 5 + 640 + 4 + 9 + 1 + 2 + 5 + 0 = 666.

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 59 ways as a sum of consecutive naturals, for example, 247851 + ... + 269649.

It is an arithmetic number, because the mean of its divisors is an integer number (132801240).

Almost surely, 25640491250 is an apocalyptic number.

5640491250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5640491250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7968074400).

5640491250 is an abundant number, since it is smaller than the sum of its proper divisors (10295657550).

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

5640491250 is a wasteful number, since it uses less digits than its factorization.

5640491250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21850 (or 21832 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5640491250 is about 75103.2039929057. The cubic root of 5640491250 is about 1780.0777698210.

The spelling of 5640491250 in words is "five billion, six hundred forty million, four hundred ninety-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 115 125 138 150 207 225 230 250 345 375 414 450 575 625 690 750 1035 1125 1150 1250 1725 1875 2070 2250 2875 3450 3750 5175 5625 5750 8625 10350 11250 14375 17250 21799 25875 28750 43125 43598 51750 65397 86250 108995 129375 130794 196191 217990 258750 326985 392382 501377 544975 653970 980955 1002754 1089950 1504131 1634925 1961910 2506885 2724875 3008262 3269850 4512393 4904775 5013770 5449750 7520655 8174625 9024786 9809550 12534425 13624375 15041310 16349250 22561965 24523875 25068850 27248750 37603275 40873125 45123930 49047750 62672125 75206550 81746250 112809825 122619375 125344250 188016375 225619650 245238750 313360625 376032750 564049125 626721250 940081875 1128098250 1880163750 2820245625 5640491250