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42478612110 = 234511331241
BaseRepresentation
bin100111100011111011…
…000010111010001110
311001122102000002010000
4213203323002322032
51143444011041420
631303040025130
73032442150114
oct474373027216
9131572002100
1042478612110
1117019084000
1282960021a6
13400c73394c
1420ad851ab4
1511893da690
hex9e3ec2e8e

42478612110 has 480 divisors, whose sum is σ = 132983417952. Its totient is φ = 9722592000.

The previous prime is 42478612067. The next prime is 42478612133. The reversal of 42478612110 is 1121687424.

It is a happy number.

42478612110 is a `hidden beast` number, since 4 + 24 + 7 + 8 + 612 + 1 + 10 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1036063690 + ... + 1036063730.

Almost surely, 242478612110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42478612110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66491708976).

42478612110 is an abundant number, since it is smaller than the sum of its proper divisors (90504805842).

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

42478612110 is a wasteful number, since it uses less digits than its factorization.

42478612110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 42478612110 in words is "forty-two billion, four hundred seventy-eight million, six hundred twelve thousand, one hundred ten".