Search a number
-
+
48865718423808 = 283511135493157
BaseRepresentation
bin10110001110001011011111…
…10010011101000100000000
320102000111221221020222200000
423013011233302131010000
522401103442404030213
6251532333502400000
713202301025204236
oct1307055762350400
9212014857228600
1048865718423808
111462a92013a550
125592606290000
13213602c5142a0
14c0d183206956
1559b19973ec73
hex2c716fc9d100

48865718423808 has 432 divisors, whose sum is σ = 171653892586176. Its totient is φ = 13668729937920.

The previous prime is 48865718423803. The next prime is 48865718423843. The reversal of 48865718423808 is 80832481756884.

48865718423808 is a `hidden beast` number, since 4 + 8 + 8 + 6 + 571 + 8 + 42 + 3 + 8 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (48865718423803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6149166 + ... + 11642322.

Almost surely, 248865718423808 is an apocalyptic number.

48865718423808 is a gapful number since it is divisible by the number (48) 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 48865718423808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85826946293088).

48865718423808 is an abundant number, since it is smaller than the sum of its proper divisors (122788174162368).

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

48865718423808 is a wasteful number, since it uses less digits than its factorization.

48865718423808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5493212 (or 5493186 counting only the distinct ones).

The product of its (nonzero) digits is 660602880, while the sum is 72.

The spelling of 48865718423808 in words is "forty-eight trillion, eight hundred sixty-five billion, seven hundred eighteen million, four hundred twenty-three thousand, eight hundred eight".