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159171505920 = 2834572171997
BaseRepresentation
bin1001010000111101011…
…1000110111100000000
3120012211221021021210000
42110033113012330000
510101440401142140
6201042233440000
714333263322400
oct2241727067400
9505757237700
10159171505920
1161560190309
1226a22270000
131201871b33b
1479bd88c800
154218d87a30
hex250f5c6f00

159171505920 has 2160 divisors, whose sum is σ = 746038006560. Its totient is φ = 32105299968.

The previous prime is 159171505919. The next prime is 159171505963. The reversal of 159171505920 is 29505171951.

It is a happy number.

159171505920 is a `hidden beast` number, since 1 + 5 + 9 + 1 + 7 + 1 + 50 + 592 + 0 = 666.

159171505920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 1640943312 + ... + 1640943408.

It is an arithmetic number, because the mean of its divisors is an integer number (345387966).

Almost surely, 2159171505920 is an apocalyptic number.

159171505920 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 159171505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373019003280).

159171505920 is an abundant number, since it is smaller than the sum of its proper divisors (586866500640).

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

159171505920 is a wasteful number, since it uses less digits than its factorization.

159171505920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 141750, while the sum is 45.

The spelling of 159171505920 in words is "one hundred fifty-nine billion, one hundred seventy-one million, five hundred five thousand, nine hundred twenty".