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159897169152 = 2833729113957
BaseRepresentation
bin1001010011101010011…
…1010010110100000000
3120021201111201210121000
42110322213102310000
510104432133403102
6201242235132000
714360254340550
oct2247247226400
9507644653530
10159897169152
11618a2868896
1226ba52a4000
1312102b74776
147a4bdc7160
15425c92901c
hex253a9d2d00

159897169152 has 288 divisors, whose sum is σ = 559032364800. Its totient is φ = 44109176832.

The previous prime is 159897169051. The next prime is 159897169207. The reversal of 159897169152 is 251961798951.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 159897169152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1346158 + ... + 1460114.

It is an arithmetic number, because the mean of its divisors is an integer number (1941084600).

Almost surely, 2159897169152 is an apocalyptic number.

159897169152 is a gapful number since it is divisible by the number (12) 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 159897169152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279516182400).

159897169152 is an abundant number, since it is smaller than the sum of its proper divisors (399135195648).

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

159897169152 is a wasteful number, since it uses less digits than its factorization.

159897169152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114018 (or 113998 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 63.

The spelling of 159897169152 in words is "one hundred fifty-nine billion, eight hundred ninety-seven million, one hundred sixty-nine thousand, one hundred fifty-two".