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42146836848 = 24321123260629
BaseRepresentation
bin100111010000001001…
…011011000101110000
311000210021201011000100
4213100021123011300
51142304042234343
631210104552400
73021303126234
oct472011330560
9130707634010
1042146836848
1116968877376
128202a82700
133c88a8bb1c
14207b76a5c4
15116a2019d3
hex9d025b170

42146836848 has 60 divisors (see below), whose sum is σ = 118058092360. Its totient is φ = 14036381568.

The previous prime is 42146836847. The next prime is 42146836867. The reversal of 42146836848 is 84863864124.

It is a happy number.

42146836848 is a `hidden beast` number, since 4 + 214 + 68 + 368 + 4 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42146836794 and 42146836803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42146836847) 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, 31398 + ... + 292026.

Almost surely, 242146836848 is an apocalyptic number.

42146836848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42146836848 is an abundant number, since it is smaller than the sum of its proper divisors (75911255512).

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

42146836848 is a wasteful number, since it uses less digits than its factorization.

42146836848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261766 (or 261757 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 42146836848 in words is "forty-two billion, one hundred forty-six million, eight hundred thirty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1123 2246 3369 4492 6738 8984 10107 13476 17968 20214 26952 40428 53904 80856 161712 260629 521258 781887 1042516 1563774 2085032 2345661 3127548 4170064 4691322 6255096 9382644 12510192 18765288 37530576 292686367 585372734 878059101 1170745468 1756118202 2341490936 2634177303 3512236404 4682981872 5268354606 7024472808 10536709212 14048945616 21073418424 42146836848