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42720606800 = 2452106801517
BaseRepresentation
bin100111110010010110…
…001011101001010000
311002021021100200102022
4213302112023221100
51144442433404200
631343042511012
73041441111024
oct476226135120
9132237320368
1042720606800
111713273a213
128343065468
13404a902681
1420d3a46384
1511a078c885
hex9f258ba50

42720606800 has 30 divisors (see below), whose sum is σ = 102636258798. Its totient is φ = 17088242560.

The previous prime is 42720606793. The next prime is 42720606811. The reversal of 42720606800 is 860602724.

It can be written as a sum of positive squares in 3 ways, for example, as 6349539856 + 36371066944 = 79684^2 + 190712^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 53400359 + ... + 53401158.

Almost surely, 242720606800 is an apocalyptic number.

42720606800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42720606800 is an abundant number, since it is smaller than the sum of its proper divisors (59915651998).

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

42720606800 is a wasteful number, since it uses less digits than its factorization.

42720606800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106801535 (or 106801524 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 42720606800 in words is "forty-two billion, seven hundred twenty million, six hundred six thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 106801517 213603034 427206068 534007585 854412136 1068015170 1708824272 2136030340 2670037925 4272060680 5340075850 8544121360 10680151700 21360303400 42720606800