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88984042752 = 28311217233179
BaseRepresentation
bin101001011011111011…
…1001011110100000000
322111200110011201210010
41102313313023310000
52424214403332002
6104513444504520
76300051612033
oct1226767136400
9274613151703
1088984042752
1134813199400
12152b46ab140
1385114b8b47
144441dd901a
1524ac09746c
hex14b7dcbd00

88984042752 has 864 divisors, whose sum is σ = 300646563840. Its totient is φ = 23194828800.

The previous prime is 88984042733. The next prime is 88984042753. The reversal of 88984042752 is 25724048988.

It is a junction number, because it is equal to n+sod(n) for n = 88984042692 and 88984042701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88984042753) 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 95 ways as a sum of consecutive naturals, for example, 1126380249 + ... + 1126380327.

It is an arithmetic number, because the mean of its divisors is an integer number (347970560).

Almost surely, 288984042752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88984042752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150323281920).

88984042752 is an abundant number, since it is smaller than the sum of its proper divisors (211662521088).

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

88984042752 is a wasteful number, since it uses less digits than its factorization.

88984042752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 88984042752 in words is "eighty-eight billion, nine hundred eighty-four million, forty-two thousand, seven hundred fifty-two".