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85461547000 = 2353751113797
BaseRepresentation
bin100111110010111100…
…1111011011111111000
322011120221222102000111
41033211321323133320
52400011124001000
6103132133314104
76113550110104
oct1174571733770
9264527872014
1085461547000
11332758a7195
1214690a95934
13809c7a412b
1441ca262904
152352be4cba
hex13e5e7b7f8

85461547000 has 64 divisors (see below), whose sum is σ = 200248064640. Its totient is φ = 34138800000.

The previous prime is 85461546953. The next prime is 85461547027. The reversal of 85461547000 is 74516458.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 694102 + ... + 807898.

It is an arithmetic number, because the mean of its divisors is an integer number (3128876010).

Almost surely, 285461547000 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 85461547000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100124032320).

85461547000 is an abundant number, since it is smaller than the sum of its proper divisors (114786517640).

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

85461547000 is a wasteful number, since it uses less digits than its factorization.

85461547000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114569 (or 114555 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 85461547000 in words is "eighty-five billion, four hundred sixty-one million, five hundred forty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 751 1000 1502 3004 3755 6008 7510 15020 18775 30040 37550 75100 93875 113797 150200 187750 227594 375500 455188 568985 751000 910376 1137970 2275940 2844925 4551880 5689850 11379700 14224625 22759400 28449250 56898500 85461547 113797000 170923094 341846188 427307735 683692376 854615470 1709230940 2136538675 3418461880 4273077350 8546154700 10682693375 17092309400 21365386750 42730773500 85461547000