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42690731160 = 233571121731797
BaseRepresentation
bin100111110000100100…
…001101110010011000
311002012012010211202010
4213300210031302120
51144412311344120
631340054305520
73040626141030
oct476044156230
9132165124663
1042690731160
1117117894200
1283350582a0
13404467218c
1420cdaaa8c0
15119cd3a7e0
hex9f090dc98

42690731160 has 768 divisors, whose sum is σ = 176063569920. Its totient is φ = 8069529600.

The previous prime is 42690731131. The next prime is 42690731179. The reversal of 42690731160 is 6113709624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53563882 + ... + 53564678.

It is an arithmetic number, because the mean of its divisors is an integer number (229249440).

Almost surely, 242690731160 is an apocalyptic number.

42690731160 is a gapful number since it is divisible by the number (40) 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 42690731160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88031784960).

42690731160 is an abundant number, since it is smaller than the sum of its proper divisors (133372838760).

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

42690731160 is a wasteful number, since it uses less digits than its factorization.

42690731160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 42690731160 in words is "forty-two billion, six hundred ninety million, seven hundred thirty-one thousand, one hundred sixty".