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104566505000 = 235461342841
BaseRepresentation
bin110000101100010100…
…1100011111000101000
3100222220102022211110112
41201120221203320220
53203123011130000
6120012011033452
710361153425106
oct1413051437050
9328812284415
10104566505000
114038a07a981
121832313b888
139b258cccc9
1450bd71cc76
152ac00b3235
hex1858a63e28

104566505000 has 80 divisors (see below), whose sum is σ = 249016429860. Its totient is φ = 41140800000.

The previous prime is 104566504873. The next prime is 104566505003. The reversal of 104566505000 is 505665401.

It can be written as a sum of positive squares in 10 ways, for example, as 23116769764 + 81449735236 = 152042^2 + 285394^2 .

It is not an unprimeable number, because it can be changed into a prime (104566505003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 133580 + ... + 476420.

Almost surely, 2104566505000 is an apocalyptic number.

104566505000 is a gapful number since it is divisible by the number (10) 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 104566505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124508214930).

104566505000 is an abundant number, since it is smaller than the sum of its proper divisors (144449924860).

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

104566505000 is an equidigital number, since it uses as much as digits as its factorization.

104566505000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342928 (or 342909 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 104566505000 in words is "one hundred four billion, five hundred sixty-six million, five hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 200 244 250 305 488 500 610 625 1000 1220 1250 1525 2440 2500 3050 5000 6100 7625 12200 15250 30500 38125 61000 76250 152500 305000 342841 685682 1371364 1714205 2742728 3428410 6856820 8571025 13713640 17142050 20913301 34284100 41826602 42855125 68568200 83653204 85710250 104566505 167306408 171420500 209133010 214275625 342841000 418266020 428551250 522832525 836532040 857102500 1045665050 1714205000 2091330100 2614162625 4182660200 5228325250 10456650500 13070813125 20913301000 26141626250 52283252500 104566505000