Search a number
-
+
48249027440640 = 212355136711131
BaseRepresentation
bin10101111100001110110100…
…01001000011000000000000
320022211120011200101010200000
422332013122021003000000
522311003002011100030
6250341144110400000
713106606610300555
oct1276073211030000
9208746150333600
1048249027440640
1114412330160294
1254b2b99800000
1320bcb2c8ca6a0
14bcb3a0322a2c
1558a1043da860
hex2be1da243000

48249027440640 has 1248 divisors, whose sum is σ = 189583137359616. Its totient is φ = 11698368675840.

The previous prime is 48249027440639. The next prime is 48249027440689. The reversal of 48249027440640 is 4604472094284.

48249027440640 is a `hidden beast` number, since 4 + 8 + 2 + 490 + 2 + 74 + 40 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-4 number, since 4×482490274406404 (a number of 56 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4334647875 + ... + 4334659005.

It is an arithmetic number, because the mean of its divisors is an integer number (151909565192).

Almost surely, 248249027440640 is an apocalyptic number.

48249027440640 is a gapful number since it is divisible by the number (40) 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 48249027440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94791568679808).

48249027440640 is an abundant number, since it is smaller than the sum of its proper divisors (141334109918976).

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

48249027440640 is a wasteful number, since it uses less digits than its factorization.

48249027440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11255 (or 11221 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 48249027440640 in words is "forty-eight trillion, two hundred forty-nine billion, twenty-seven million, four hundred forty thousand, six hundred forty".