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42205457772 = 22321217963331
BaseRepresentation
bin100111010011101001…
…000010110101101100
311000221101000101210200
4213103221002311230
51142414044122042
631220001233500
73022614320562
oct472351026554
9130841011720
1042205457772
1116998976115
12821a632890
133c97c7516a
142085469a32
151170430c4c
hex9d3a42d6c

42205457772 has 36 divisors (see below), whose sum is σ = 106773792216. Its totient is φ = 14056911360.

The previous prime is 42205457759. The next prime is 42205457773. The reversal of 42205457772 is 27775450224.

42205457772 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 5 + 4 + 577 + 72 = 666.

42205457772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (42205457773) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 437854 + ... + 525477.

Almost surely, 242205457772 is an apocalyptic number.

It is an amenable number.

42205457772 is an abundant number, since it is smaller than the sum of its proper divisors (64568334444).

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

42205457772 is a wasteful number, since it uses less digits than its factorization.

42205457772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964558 (or 964553 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 45.

The spelling of 42205457772 in words is "forty-two billion, two hundred five million, four hundred fifty-seven thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 1217 2434 3651 4868 7302 10953 14604 21906 43812 963331 1926662 2889993 3853324 5779986 8669979 11559972 17339958 34679916 1172373827 2344747654 3517121481 4689495308 7034242962 10551364443 14068485924 21102728886 42205457772