Search a number
-
+
12372028452 = 22347311491181
BaseRepresentation
bin10111000010110111…
…00010110000100100
31011221020011011110000
423201123202300210
5200314214402302
65403355301300
7615406335540
oct134133426044
934836134400
1012372028452
115279762103
12249344a830
1312222614c4
148551c0a20
154c625b31c
hex2e16e2c24

12372028452 has 240 divisors, whose sum is σ = 38444313600. Its totient is φ = 3395001600.

The previous prime is 12372028441. The next prime is 12372028457. The reversal of 12372028452 is 25482027321.

12372028452 is a `hidden beast` number, since 1 + 2 + 372 + 0 + 284 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12372028457) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10475302 + ... + 10476482.

It is an arithmetic number, because the mean of its divisors is an integer number (160184640).

Almost surely, 212372028452 is an apocalyptic number.

12372028452 is a gapful number since it is divisible by the number (12) 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 12372028452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19222156800).

12372028452 is an abundant number, since it is smaller than the sum of its proper divisors (26072285148).

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

12372028452 is a wasteful number, since it uses less digits than its factorization.

12372028452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 12372028452 in words is "twelve billion, three hundred seventy-two million, twenty-eight thousand, four hundred fifty-two".