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42987884544 = 212341111779
BaseRepresentation
bin101000000010010001…
…110001000000000000
311002221220021210120000
4220002101301000000
51201014344301134
631425351320000
73051164663313
oct500221610000
9132856253500
1042987884544
111725a5a3a10
1283b8680000
1340910b4397
14211b33c97a
1511b8e85e99
hexa02471000

42987884544 has 260 divisors, whose sum is σ = 140103450960. Its totient is φ = 13025525760.

The previous prime is 42987884531. The next prime is 42987884593. The reversal of 42987884544 is 44548878924.

42987884544 is a `hidden beast` number, since 4 + 2 + 9 + 8 + 7 + 8 + 84 + 544 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3643647 + ... + 3655425.

Almost surely, 242987884544 is an apocalyptic number.

42987884544 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 42987884544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70051725480).

42987884544 is an abundant number, since it is smaller than the sum of its proper divisors (97115566416).

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

42987884544 is a wasteful number, since it uses less digits than its factorization.

42987884544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11826 (or 11795 counting only the distinct ones).

The product of its digits is 82575360, while the sum is 63.

The spelling of 42987884544 in words is "forty-two billion, nine hundred eighty-seven million, eight hundred eighty-four thousand, five hundred forty-four".