Search a number
-
+
149791593980160 = 28335111553253717
BaseRepresentation
bin100010000011110000010010…
…101111111110000100000000
3201122100221021201210001112000
4202003300102233332010000
5124113141141024331120
61250325150331504000
743360041223623036
oct4203602257760400
9648327251701460
10149791593980160
1143801292819a30
12149727458b8000
136577395b68302
1428dbd47b80556
15124b65300c990
hex883c12bfe100

149791593980160 has 576 divisors, whose sum is σ = 580250711496960. Its totient is φ = 36289588101120.

The previous prime is 149791593980141. The next prime is 149791593980167. The reversal of 149791593980160 is 61089395197941.

149791593980160 is a `hidden beast` number, since 1 + 4 + 9 + 79 + 1 + 5 + 9 + 398 + 0 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (149791593980167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 590261622 + ... + 590515338.

It is an arithmetic number, because the mean of its divisors is an integer number (1007379707460).

Almost surely, 2149791593980160 is an apocalyptic number.

149791593980160 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 149791593980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290125355748480).

149791593980160 is an abundant number, since it is smaller than the sum of its proper divisors (430459117516800).

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

149791593980160 is a wasteful number, since it uses less digits than its factorization.

149791593980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255311 (or 255291 counting only the distinct ones).

The product of its (nonzero) digits is 132269760, while the sum is 72.

The spelling of 149791593980160 in words is "one hundred forty-nine trillion, seven hundred ninety-one billion, five hundred ninety-three million, nine hundred eighty thousand, one hundred sixty".