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42764450800 = 2452591812053
BaseRepresentation
bin100111110100111101…
…011011101111110000
311002101022212012002011
4213310331123233300
51200040144411200
631351250332304
73042512556061
oct476475335760
9132338765064
1042764450800
1117155465925
12835588a094
134056a13a76
1420d97ba568
1511a454d5ba
hex9f4f5bbf0

42764450800 has 60 divisors (see below), whose sum is σ = 104483033640. Its totient is φ = 16815842560.

The previous prime is 42764450797. The next prime is 42764450857. The reversal of 42764450800 is 805446724.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 882427 + ... + 929626.

It is an arithmetic number, because the mean of its divisors is an integer number (1741383894).

Almost surely, 242764450800 is an apocalyptic number.

42764450800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42764450800 is an abundant number, since it is smaller than the sum of its proper divisors (61718582840).

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

42764450800 is a wasteful number, since it uses less digits than its factorization.

42764450800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812130 (or 1812119 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The spelling of 42764450800 in words is "forty-two billion, seven hundred sixty-four million, four hundred fifty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 200 236 295 400 472 590 944 1180 1475 2360 2950 4720 5900 11800 23600 1812053 3624106 7248212 9060265 14496424 18120530 28992848 36241060 45301325 72482120 90602650 106911127 144964240 181205300 213822254 362410600 427644508 534555635 724821200 855289016 1069111270 1710578032 2138222540 2672778175 4276445080 5345556350 8552890160 10691112700 21382225400 42764450800