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854085290450 = 25272186712
BaseRepresentation
bin11000110110110110111…
…00110100100111010010
310000122112200011011120012
430123123130310213102
5102443131313243300
61452210015514522
7115464013120400
oct14333334644722
93018480134505
10854085290450
112aa240975a47
1211963b528a42
1362703201212
142d4a348c470
151733b658435
hexc6db7349d2

854085290450 has 54 divisors (see below), whose sum is σ = 1848060663813. Its totient is φ = 292813558800.

The previous prime is 854085290423. The next prime is 854085290459. The reversal of 854085290450 is 54092580458.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 837003584641 + 17081705809 = 914879^2 + 130697^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=653485.

It is a super-2 number, since 2×8540852904502 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (854085290459) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45734615 + ... + 45753285.

Almost surely, 2854085290450 is an apocalyptic number.

854085290450 is an abundant number, since it is smaller than the sum of its proper divisors (993975373363).

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

854085290450 is an frugal number, since it uses more digits than its factorization.

854085290450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37368 (or 18685 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 50.

Multiplying 854085290450 by its sum of digits (50), we get a square (42704264522500 = 65348502).

854085290450 divided by its sum of digits (50) gives a square (17081705809 = 1306972).

The spelling of 854085290450 in words is "eight hundred fifty-four billion, eighty-five million, two hundred ninety thousand, four hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 175 245 350 490 1225 2450 18671 37342 93355 130697 186710 261394 466775 653485 914879 933550 1306970 1829758 3267425 4574395 6534850 9148790 22871975 45743950 348606241 697212482 1743031205 2440243687 3486062410 4880487374 8715156025 12201218435 17081705809 17430312050 24402436870 34163411618 61006092175 85408529045 122012184350 170817058090 427042645225 854085290450