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42971015808 = 2737721929
BaseRepresentation
bin101000000001010001…
…011010101010000000
311002220201112210000000
4220001101122222000
51201001040001213
631423550000000
73050601415320
oct500121325200
9132821483000
1042971015808
1117251022206
1283b2aa6000
13408a759296
142118dcb280
1511b7752c73
hexa0145aa80

42971015808 has 256 divisors, whose sum is σ = 146738016000. Its totient is φ = 12276873216.

The previous prime is 42971015803. The next prime is 42971015849. The reversal of 42971015808 is 80851017924.

42971015808 is a `hidden beast` number, since 429 + 71 + 0 + 158 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (42971015803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1948588 + ... + 1970516.

It is an arithmetic number, because the mean of its divisors is an integer number (573195375).

Almost surely, 242971015808 is an apocalyptic number.

42971015808 is a gapful number since it is divisible by the number (48) 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 42971015808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73369008000).

42971015808 is an abundant number, since it is smaller than the sum of its proper divisors (103767000192).

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

42971015808 is an frugal number, since it uses more digits than its factorization.

42971015808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21971 (or 21941 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 42971015808 in words is "forty-two billion, nine hundred seventy-one million, fifteen thousand, eight hundred eight".