Search a number
-
+
73352376609540 = 223571514079283553
BaseRepresentation
bin10000101011011010101110…
…010110011110101100000100
3100121201102022020122112000020
4100223122232112132230010
534103301131403001130
6420001341104415140
721310351162452150
oct2053325626365404
9317642266575006
1073352376609540
1121410628338066
1282882226174b0
1331c113a5c1452
1414183b9ac2060
158730e4c43e10
hex42b6ae59eb04

73352376609540 has 192 divisors, whose sum is σ = 236340852572160. Its totient is φ = 16651080806400.

The previous prime is 73352376609503. The next prime is 73352376609541. The reversal of 73352376609540 is 4590667325337.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (73352376609541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 258548404 + ... + 258831956.

It is an arithmetic number, because the mean of its divisors is an integer number (1230941940480).

Almost surely, 273352376609540 is an apocalyptic number.

73352376609540 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 73352376609540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118170426286080).

73352376609540 is an abundant number, since it is smaller than the sum of its proper divisors (162988475962620).

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

73352376609540 is a wasteful number, since it uses less digits than its factorization.

73352376609540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287802 (or 287800 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 60.

The spelling of 73352376609540 in words is "seventy-three trillion, three hundred fifty-two billion, three hundred seventy-six million, six hundred nine thousand, five hundred forty".