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87170389488 = 243471331113211
BaseRepresentation
bin101000100101111000…
…0101001010111110000
322100000001110121020000
41101023300221113300
52412011104430423
6104013455550000
76204110041140
oct1211360512760
9270001417200
1087170389488
1133a72459906
1214a8922b300
1382b2828430
14430d1aa920
152402c43843
hex144bc295f0

87170389488 has 800 divisors, whose sum is σ = 324904538112. Its totient is φ = 21946982400.

The previous prime is 87170389487. The next prime is 87170389571. The reversal of 87170389488 is 88498307178.

87170389488 is a `hidden beast` number, since 8 + 7 + 1 + 70 + 3 + 89 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87170389487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 413129703 + ... + 413129913.

Almost surely, 287170389488 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 87170389488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162452269056).

87170389488 is an abundant number, since it is smaller than the sum of its proper divisors (237734148624).

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

87170389488 is a wasteful number, since it uses less digits than its factorization.

87170389488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

It can be divided in two parts, 871703 and 89488, that added together give a triangular number (961191 = T1386).

The spelling of 87170389488 in words is "eighty-seven billion, one hundred seventy million, three hundred eighty-nine thousand, four hundred eighty-eight".