Search a number
-
+
73245164160 = 2735719286831
BaseRepresentation
bin100010000110111000…
…0001000001010000000
321000001120200212012210
41010031300020022000
52200001230223120
653352014022120
75202040423440
oct1041560101200
9230046625183
1073245164160
1129076a92a23
12122417a7940
136ba386a42c
14378b9da120
151d8a480ce0
hex110dc08280

73245164160 has 256 divisors, whose sum is σ = 280865894400. Its totient is φ = 15860551680.

The previous prime is 73245164093. The next prime is 73245164171. The reversal of 73245164160 is 6146154237.

It is a happy 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, 111945 + ... + 398775.

It is an arithmetic number, because the mean of its divisors is an integer number (1097132400).

Almost surely, 273245164160 is an apocalyptic number.

73245164160 is a gapful number since it is divisible by the number (70) 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 73245164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140432947200).

73245164160 is an abundant number, since it is smaller than the sum of its proper divisors (207620730240).

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

73245164160 is a wasteful number, since it uses less digits than its factorization.

73245164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286879 (or 286867 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 73245164160 in words is "seventy-three billion, two hundred forty-five million, one hundred sixty-four thousand, one hundred sixty".