Search a number
-
+
73643737230 = 2325719149157263
BaseRepresentation
bin100010010010110000…
…0100100000010001110
321001002100200110200100
41010211200210002032
52201310244042410
653455332511530
75214650303160
oct1044540440216
9231070613610
1073643737230
1129260a73858
121233317b5a6
136c382cc39b
1437c890c930
151db04618c0
hex112582408e

73643737230 has 384 divisors, whose sum is σ = 234254592000. Its totient is φ = 15679153152.

The previous prime is 73643737229. The next prime is 73643737243. The reversal of 73643737230 is 3273734637.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 280014079 + ... + 280014341.

It is an arithmetic number, because the mean of its divisors is an integer number (610038000).

Almost surely, 273643737230 is an apocalyptic number.

73643737230 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 73643737230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117127296000).

73643737230 is an abundant number, since it is smaller than the sum of its proper divisors (160610854770).

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

73643737230 is a wasteful number, since it uses less digits than its factorization.

73643737230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 45.

The spelling of 73643737230 in words is "seventy-three billion, six hundred forty-three million, seven hundred thirty-seven thousand, two hundred thirty".