Search a number
-
+
159421536000 = 2832533891423
BaseRepresentation
bin1001010001111001000…
…0111001011100000000
3120020111100202010120100
42110132100321130000
510102443403123000
6201123124442400
714342420461146
oct2243620713400
9506440663510
10159421536000
1161679334641
1226a91b49400
131205847162c
147a04b75596
154230cc5a00
hex251e439700

159421536000 has 432 divisors, whose sum is σ = 575524010880. Its totient is φ = 42373324800.

The previous prime is 159421535981. The next prime is 159421536007. The reversal of 159421536000 is 635124951.

159421536000 is a `hidden beast` number, since 1 + 5 + 9 + 42 + 1 + 5 + 3 + 600 + 0 = 666.

It is a super-2 number, since 2×1594215360002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159421536007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112031289 + ... + 112032711.

Almost surely, 2159421536000 is an apocalyptic number.

159421536000 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 159421536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287762005440).

159421536000 is an abundant number, since it is smaller than the sum of its proper divisors (416102474880).

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

159421536000 is a wasteful number, since it uses less digits than its factorization.

159421536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 159421536000 in words is "one hundred fifty-nine billion, four hundred twenty-one million, five hundred thirty-six thousand".