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42249194640 = 2432558679437
BaseRepresentation
bin100111010110001111…
…111000110010010000
311001001102022110111200
4213112033320302100
51143011243212030
631224202511200
73023655141402
oct472617706220
9131042273450
1042249194640
1116a10629294
128231205500
133ca4049873
14208b1b2b72
1511741bed60
hex9d63f8c90

42249194640 has 60 divisors (see below), whose sum is σ = 141886881084. Its totient is φ = 11266451712.

The previous prime is 42249194633. The next prime is 42249194671. The reversal of 42249194640 is 4649194224.

42249194640 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 9831912336 + 32417282304 = 99156^2 + 180048^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29338999 + ... + 29340438.

Almost surely, 242249194640 is an apocalyptic number.

42249194640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42249194640 is an abundant number, since it is smaller than the sum of its proper divisors (99637686444).

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

42249194640 is a wasteful number, since it uses less digits than its factorization.

42249194640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58679456 (or 58679447 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 42249194640 in words is "forty-two billion, two hundred forty-nine million, one hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 58679437 117358874 176038311 234717748 293397185 352076622 469435496 528114933 586794370 704153244 880191555 938870992 1056229866 1173588740 1408306488 1760383110 2112459732 2347177480 2640574665 2816612976 3520766220 4224919464 4694354960 5281149330 7041532440 8449838928 10562298660 14083064880 21124597320 42249194640