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132871884420 = 2235113124126947
BaseRepresentation
bin111101110111111001…
…0000000111010000100
3110200222001220002102110
41323233302000322010
54134110200300140
6141012425341020
712412455245142
oct1735762007204
9420861802373
10132871884420
1151394795430
1221902637770
13c6b6b80222
146606a82592
1536ca04c380
hex1eefc80e84

132871884420 has 192 divisors, whose sum is σ = 420709588992. Its totient is φ = 31041792000.

The previous prime is 132871884403. The next prime is 132871884427. The reversal of 132871884420 is 24488178231.

It is a self number, because there is not a number n which added to its sum of digits gives 132871884420.

It is not an unprimeable number, because it can be changed into a prime (132871884427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4917387 + ... + 4944333.

It is an arithmetic number, because the mean of its divisors is an integer number (2191195776).

Almost surely, 2132871884420 is an apocalyptic number.

132871884420 is a gapful number since it is divisible by the number (10) 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 132871884420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210354794496).

132871884420 is an abundant number, since it is smaller than the sum of its proper divisors (287837704572).

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

132871884420 is a wasteful number, since it uses less digits than its factorization.

132871884420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27242 (or 27240 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 132871884420 in words is "one hundred thirty-two billion, eight hundred seventy-one million, eight hundred eighty-four thousand, four hundred twenty".