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42870055680 = 283351965287
BaseRepresentation
bin100111111011010000…
…010010001100000000
311002122200120110202000
4213323100102030000
51200244213240210
631405542024000
73045234314034
oct477320221400
9132580513660
1042870055680
11171aa035391
128385118000
13407286a76a
14210982a1c4
1511ad95dac0
hex9fb412300

42870055680 has 288 divisors, whose sum is σ = 160138406400. Its totient is φ = 10830163968.

The previous prime is 42870055673. The next prime is 42870055693. The reversal of 42870055680 is 8655007824.

42870055680 is a `hidden beast` number, since 4 + 2 + 87 + 0 + 0 + 5 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623997 + ... + 689283.

Almost surely, 242870055680 is an apocalyptic number.

42870055680 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 42870055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80069203200).

42870055680 is an abundant number, since it is smaller than the sum of its proper divisors (117268350720).

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

42870055680 is a wasteful number, since it uses less digits than its factorization.

42870055680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65336 (or 65316 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 42870055680 in words is "forty-two billion, eight hundred seventy million, fifty-five thousand, six hundred eighty".