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159492849120 = 253451121953101
BaseRepresentation
bin1001010010001010000…
…0111011110111100000
3120020200022221012210000
42110202200323313200
510103120132132440
6201134153140000
714344244564133
oct2244240736740
9506608835700
10159492849120
1161705612200
1226ab19ba600
131206a17ca47
147a1041a21a
1542371b0730
hex252283bde0

159492849120 has 1440 divisors, whose sum is σ = 670120244640. Its totient is φ = 35582976000.

The previous prime is 159492849119. The next prime is 159492849121. The reversal of 159492849120 is 21948294951.

159492849120 is a `hidden beast` number, since 1 + 59 + 492 + 84 + 9 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (159492849119) and next prime (159492849121).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159492849121) 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 239 ways as a sum of consecutive naturals, for example, 1579137070 + ... + 1579137170.

It is an arithmetic number, because the mean of its divisors is an integer number (465361281).

Almost surely, 2159492849120 is an apocalyptic number.

159492849120 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 159492849120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335060122320).

159492849120 is an abundant number, since it is smaller than the sum of its proper divisors (510627395520).

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

159492849120 is a wasteful number, since it uses less digits than its factorization.

159492849120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 159492849120 in words is "one hundred fifty-nine billion, four hundred ninety-two million, eight hundred forty-nine thousand, one hundred twenty".