Search a number
-
+
161464515425136 = 2433711231117188939
BaseRepresentation
bin100100101101100111100011…
…000101011111001101110000
3210011200212010200212000022000
4210231213203011133031300
5132130413311422101021
61331223435133214000
746003266133042350
oct4455474305371560
9704625120760260
10161464515425136
11474a179764a340
1216138aa3631300
136c130666a2c71
142bc2cd21aab60
1513a00e136db26
hex92d9e315f370

161464515425136 has 640 divisors, whose sum is σ = 603489717043200. Its totient is φ = 40079281904640.

The previous prime is 161464515425041. The next prime is 161464515425167. The reversal of 161464515425136 is 631524515464161.

161464515425136 is a `hidden beast` number, since 1 + 6 + 1 + 4 + 6 + 4 + 515 + 42 + 51 + 36 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 854490955 + ... + 854679893.

It is an arithmetic number, because the mean of its divisors is an integer number (942952682880).

Almost surely, 2161464515425136 is an apocalyptic number.

161464515425136 is a gapful number since it is divisible by the number (16) 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 161464515425136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301744858521600).

161464515425136 is an abundant number, since it is smaller than the sum of its proper divisors (442025201618064).

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

161464515425136 is a wasteful number, since it uses less digits than its factorization.

161464515425136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190114 (or 190102 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 161464515425136 in words is "one hundred sixty-one trillion, four hundred sixty-four billion, five hundred fifteen million, four hundred twenty-five thousand, one hundred thirty-six".