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42670870704 = 243272112234153
BaseRepresentation
bin100111101111011000…
…011101000010110000
311002010210202211022200
4213233120131002300
51144342220330304
631334104503200
73040265262600
oct475730350260
9132123684280
1042670870704
1117107659800
12832a47ab00
13404050a427
1420cb1bac00
15119b215e39
hex9ef61d0b0

42670870704 has 1080 divisors, whose sum is σ = 166297543776. Its totient is φ = 10147737600.

The previous prime is 42670870691. The next prime is 42670870751. The reversal of 42670870704 is 40707807624.

42670870704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42670870704.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 805110742 + ... + 805110794.

Almost surely, 242670870704 is an apocalyptic number.

42670870704 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42670870704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83148771888).

42670870704 is an abundant number, since it is smaller than the sum of its proper divisors (123626673072).

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

42670870704 is a wasteful number, since it uses less digits than its factorization.

42670870704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 42670870704 in words is "forty-two billion, six hundred seventy million, eight hundred seventy thousand, seven hundred four".