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42722581120 = 27566754033
BaseRepresentation
bin100111110010011101…
…101101101010000000
311002021102001222200021
4213302131231222000
51144443440043440
631343153103224
73041463643042
oct476235555200
9132242058607
1042722581120
111713386858a
128343857b14
13404b1441cb
1420d3ddba92
1511a0a2c84a
hex9f276da80

42722581120 has 32 divisors (see below), whose sum is σ = 102133672020. Its totient is φ = 17089032192.

The previous prime is 42722581117. The next prime is 42722581169. The reversal of 42722581120 is 2118522724.

42722581120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 41920105536 + 802475584 = 204744^2 + 28328^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33376377 + ... + 33377656.

Almost surely, 242722581120 is an apocalyptic number.

42722581120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42722581120 is an abundant number, since it is smaller than the sum of its proper divisors (59411090900).

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

42722581120 is an equidigital number, since it uses as much as digits as its factorization.

42722581120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66754052 (or 66754040 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The spelling of 42722581120 in words is "forty-two billion, seven hundred twenty-two million, five hundred eighty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 66754033 133508066 267016132 333770165 534032264 667540330 1068064528 1335080660 2136129056 2670161320 4272258112 5340322640 8544516224 10680645280 21361290560 42722581120