Search a number
-
+
673326121320 = 2332553337104717
BaseRepresentation
bin10011100110001010101…
…11010100000101101000
32101100222020212222001100
421303011113110011220
542012432441340240
61233153255321400
766434435412246
oct11630527240550
92340866788040
10673326121320
1123a613050866
12aa5b3680260
134b657201888
1424836915796
15127ac490e30
hex9cc55d4168

673326121320 has 192 divisors, whose sum is σ = 2236236135120. Its totient is φ = 175641403392.

The previous prime is 673326121241. The next prime is 673326121333. The reversal of 673326121320 is 23121623376.

673326121320 is a `hidden beast` number, since 6 + 7 + 3 + 3 + 2 + 612 + 1 + 32 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 132156969156 + 541169152164 = 363534^2 + 735642^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6377602 + ... + 6482318.

Almost surely, 2673326121320 is an apocalyptic number.

673326121320 is a gapful number since it is divisible by the number (60) 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 673326121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118118067560).

673326121320 is an abundant number, since it is smaller than the sum of its proper divisors (1562910013800).

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

673326121320 is a wasteful number, since it uses less digits than its factorization.

673326121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105124 (or 105117 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

Adding to 673326121320 its reverse (23121623376), we get a palindrome (696447744696).

The spelling of 673326121320 in words is "six hundred seventy-three billion, three hundred twenty-six million, one hundred twenty-one thousand, three hundred twenty".