Search a number
-
+
73497793920 = 2735416831367
BaseRepresentation
bin100010001110011001…
…1110101010110000000
321000201012001210002120
41010130303311112000
52201010413401140
653433040444240
75211225640365
oct1043463652600
9230635053076
1073497793920
1129196652451
12122b2319680
136c13cc0ab5
1437b339c46c
151da27341d0
hex111ccf5580

73497793920 has 256 divisors, whose sum is σ = 240515412480. Its totient is φ = 19079413760.

The previous prime is 73497793871. The next prime is 73497793921. The reversal of 73497793920 is 2939779437.

It is a super-2 number, since 2×734977939202 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73497793921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53765077 + ... + 53766443.

It is an arithmetic number, because the mean of its divisors is an integer number (939513330).

Almost surely, 273497793920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73497793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120257706240).

73497793920 is an abundant number, since it is smaller than the sum of its proper divisors (167017618560).

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

73497793920 is a wasteful number, since it uses less digits than its factorization.

73497793920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 18003384, while the sum is 60.

The spelling of 73497793920 in words is "seventy-three billion, four hundred ninety-seven million, seven hundred ninety-three thousand, nine hundred twenty".