Search a number
-
+
161037322110720 = 28335113471220761
BaseRepresentation
bin100100100111011001101100…
…011000010100011100000000
3210010012000110212021010202000
4210213121230120110130000
5132101413413430020340
61330255305142024000
745630363651554316
oct4447315430243400
9703160425233660
10161037322110720
11473475aa108380
121608a141418000
136bb19a62cab43
142baa3686440b6
151393e3c456d30
hex92766c614700

161037322110720 has 576 divisors, whose sum is σ = 625206715015680. Its totient is φ = 38926813593600.

The previous prime is 161037322110713. The next prime is 161037322110737. The reversal of 161037322110720 is 27011223730161.

161037322110720 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 373 + 2 + 211 + 0 + 72 + 0 = 666.

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

It is a super-2 number, since 2×1610373221107202 (a number of 29 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 an unprimeable number.

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, 131305140 + ... + 132525900.

It is an arithmetic number, because the mean of its divisors is an integer number (1085428324680).

Almost surely, 2161037322110720 is an apocalyptic number.

161037322110720 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 161037322110720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312603357507840).

161037322110720 is an abundant number, since it is smaller than the sum of its proper divisors (464169392904960).

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

161037322110720 is a wasteful number, since it uses less digits than its factorization.

161037322110720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221149 (or 1221129 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

Adding to 161037322110720 its reverse (27011223730161), we get a palindrome (188048545840881).

The spelling of 161037322110720 in words is "one hundred sixty-one trillion, thirty-seven billion, three hundred twenty-two million, one hundred ten thousand, seven hundred twenty".