Search a number
-
+
12396203820 = 2233571113171971
BaseRepresentation
bin10111000101101111…
…10000111100101100
31011222220122101211000
423202313300330230
5200341412010240
65410021400300
7616121664630
oct134267607454
934886571730
1012396203820
115291374450
12249b569090
131227277260
148584b4dc0
154c8434430
hex2e2df0f2c

12396203820 has 1536 divisors, whose sum is σ = 58525286400. Its totient is φ = 2090188800.

The previous prime is 12396203797. The next prime is 12396203849. The reversal of 12396203820 is 2830269321.

12396203820 is a `hidden beast` number, since 1 + 2 + 3 + 9 + 620 + 3 + 8 + 20 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 174594385 + ... + 174594455.

It is an arithmetic number, because the mean of its divisors is an integer number (38102400).

Almost surely, 212396203820 is an apocalyptic number.

12396203820 is a gapful number since it is divisible by the number (10) 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 12396203820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29262643200).

12396203820 is an abundant number, since it is smaller than the sum of its proper divisors (46129082580).

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

12396203820 is a wasteful number, since it uses less digits than its factorization.

12396203820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 12396203820 in words is "twelve billion, three hundred ninety-six million, two hundred three thousand, eight hundred twenty".