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8196378624 = 212327231381
BaseRepresentation
bin1111010001000101…
…01101000000000000
3210011012221011201200
413220202231000000
5113241233103444
63433152501200
7410054032410
oct75042550000
923135834650
108196378624
113526707635
121708b4a800
13a0812cca5
1457a7c6640
1532e88b969
hex1e88ad000

8196378624 has 312 divisors, whose sum is σ = 28254625152. Its totient is φ = 2238382080.

The previous prime is 8196378613. The next prime is 8196378629. The reversal of 8196378624 is 4268736918.

8196378624 is a `hidden beast` number, since 8 + 1 + 9 + 6 + 3 + 7 + 8 + 624 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8196378629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5934414 + ... + 5935794.

It is an arithmetic number, because the mean of its divisors is an integer number (90559696).

Almost surely, 28196378624 is an apocalyptic number.

8196378624 is a gapful number since it is divisible by the number (84) 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 8196378624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14127312576).

8196378624 is an abundant number, since it is smaller than the sum of its proper divisors (20058246528).

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

8196378624 is a wasteful number, since it uses less digits than its factorization.

8196378624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1416 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 8196378624 is about 90533.8534692962. The cubic root of 8196378624 is about 2016.2327773541.

The spelling of 8196378624 in words is "eight billion, one hundred ninety-six million, three hundred seventy-eight thousand, six hundred twenty-four".