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68007535000 = 235482116567
BaseRepresentation
bin111111010101100100…
…001010000110011000
320111112120011201201121
4333111210022012120
52103234412110000
651124153255024
74625201336536
oct772544120630
9214476151647
1068007535000
1126929531689
121121b704474
13654a70ab92
14341215d156
151b8073ab1a
hexfd590a198

68007535000 has 80 divisors (see below), whose sum is σ = 159545366640. Its totient is φ = 27168240000.

The previous prime is 68007534989. The next prime is 68007535007. The reversal of 68007535000 is 53570086.

It is a happy number.

It is a super-3 number, since 3×680075350003 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68007535007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4096717 + ... + 4113283.

It is an arithmetic number, because the mean of its divisors is an integer number (1994317083).

Almost surely, 268007535000 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 68007535000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79772683320).

68007535000 is an abundant number, since it is smaller than the sum of its proper divisors (91537831640).

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

68007535000 is a wasteful number, since it uses less digits than its factorization.

68007535000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17414 (or 17395 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The spelling of 68007535000 in words is "sixty-eight billion, seven million, five hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 821 1000 1250 1642 2500 3284 4105 5000 6568 8210 16420 16567 20525 32840 33134 41050 66268 82100 82835 102625 132536 164200 165670 205250 331340 410500 414175 513125 662680 821000 828350 1026250 1656700 2052500 2070875 3313400 4105000 4141750 8283500 10354375 13601507 16567000 20708750 27203014 41417500 54406028 68007535 82835000 108812056 136015070 272030140 340037675 544060280 680075350 1360150700 1700188375 2720301400 3400376750 6800753500 8500941875 13601507000 17001883750 34003767500 68007535000