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48421418219136 = 273519532775581
BaseRepresentation
bin10110000001001111111010…
…11011101011011010000000
320100110001010220001001100000
423000213331123223122000
522321314031031003021
6250552254211200000
713125221611604454
oct1300477533533200
9210401126031300
1048421418219136
1114479454271756
12552048aba6000
132103173c61cb1
14bd58756d8664
1558e843a89b26
hex2c09fd6eb680

48421418219136 has 768 divisors, whose sum is σ = 155560721097600. Its totient is φ = 14945626275840.

The previous prime is 48421418219123. The next prime is 48421418219137. The reversal of 48421418219136 is 63191281412484.

48421418219136 is a `hidden beast` number, since 4 + 8 + 4 + 2 + 1 + 418 + 2 + 191 + 36 = 666.

48421418219136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (48421418219137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8676115866 + ... + 8676121446.

Almost surely, 248421418219136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48421418219136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77780360548800).

48421418219136 is an abundant number, since it is smaller than the sum of its proper divisors (107139302878464).

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

48421418219136 is a wasteful number, since it uses less digits than its factorization.

48421418219136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5959 (or 5935 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 48421418219136 in words is "forty-eight trillion, four hundred twenty-one billion, four hundred eighteen million, two hundred nineteen thousand, one hundred thirty-six".