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42537069120 = 263571331113139
BaseRepresentation
bin100111100111011010…
…000010101001000000
311001210111000000001110
4213213122002221000
51144103442202440
631312525003320
73034052056530
oct474732025100
9131714000043
1042537069120
1117049080687
1282b16b3540
13401b8904b0
1420b750b4c0
15118e5d6080
hex9e7682a40

42537069120 has 896 divisors, whose sum is σ = 174347550720. Its totient is φ = 8546549760.

The previous prime is 42537069119. The next prime is 42537069161. The reversal of 42537069120 is 2196073524.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 306022011 + ... + 306022149.

It is an arithmetic number, because the mean of its divisors is an integer number (194584320).

Almost surely, 242537069120 is an apocalyptic number.

42537069120 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 42537069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87173775360).

42537069120 is an abundant number, since it is smaller than the sum of its proper divisors (131810481600).

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

42537069120 is a wasteful number, since it uses less digits than its factorization.

42537069120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 42537069120 in words is "forty-two billion, five hundred thirty-seven million, sixty-nine thousand, one hundred twenty".