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42166564240 = 2452322916611
BaseRepresentation
bin100111010001010100…
…101011010110010000
311000211122211101220111
4213101110223112100
51142324120023430
631212051451104
73021632611423
oct472124532620
9130748741814
1042166564240
1116978a208a9
1282095b6a94
133c8cba8138
1420802239ba
15116bcebc2a
hex9d152b590

42166564240 has 40 divisors (see below), whose sum is σ = 102299755968. Its totient is φ = 16133293440.

The previous prime is 42166564229. The next prime is 42166564243. The reversal of 42166564240 is 4246566124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 42166564193 and 42166564202.

It is not an unprimeable number, because it can be changed into a prime (42166564243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11456466 + ... + 11460145.

Almost surely, 242166564240 is an apocalyptic number.

42166564240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42166564240 is an abundant number, since it is smaller than the sum of its proper divisors (60133191728).

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

42166564240 is a wasteful number, since it uses less digits than its factorization.

42166564240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22916647 (or 22916641 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 42166564240 in words is "forty-two billion, one hundred sixty-six million, five hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 22916611 45833222 91666444 114583055 183332888 229166110 366665776 458332220 527082053 916664440 1054164106 1833328880 2108328212 2635410265 4216656424 5270820530 8433312848 10541641060 21083282120 42166564240