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42418377432 = 233553541761
BaseRepresentation
bin100111100000010101…
…010001001011011000
311001111012122211200000
4213200111101023120
51143333101034212
631253045013000
73031111154604
oct474025211330
9131435584600
1042418377432
1116a98082882
1282799b4160
134000103c22
1420a5852504
151183e8d1dc
hex9e05512d8

42418377432 has 192 divisors, whose sum is σ = 121770099360. Its totient is φ = 13828838400.

The previous prime is 42418377413. The next prime is 42418377503. The reversal of 42418377432 is 23477381424.

42418377432 is a `hidden beast` number, since 4 + 241 + 8 + 377 + 4 + 32 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55739932 + ... + 55740692.

Almost surely, 242418377432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42418377432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60885049680).

42418377432 is an abundant number, since it is smaller than the sum of its proper divisors (79351721928).

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

42418377432 is a wasteful number, since it uses less digits than its factorization.

42418377432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1360 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The spelling of 42418377432 in words is "forty-two billion, four hundred eighteen million, three hundred seventy-seven thousand, four hundred thirty-two".