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48244002545376 = 25341119533316699
BaseRepresentation
bin10101111100000101011101…
…01000100101111011100000
320022211002012111011000020000
422332002232220211323200
522310412204122423001
6250334553325420000
713106341233345261
oct1276025650457340
9208732174130200
1048244002545376
111441019179a090
1254b2016a0a600
1320bc50b863491
14bcb044c20968
15589e0d1b7a86
hex2be0aea25ee0

48244002545376 has 480 divisors, whose sum is σ = 162969616656000. Its totient is φ = 13846526622720.

The previous prime is 48244002545363. The next prime is 48244002545377. The reversal of 48244002545376 is 67354520044284.

It is a happy number.

48244002545376 is a `hidden beast` number, since 4 + 8 + 24 + 4 + 0 + 0 + 2 + 545 + 3 + 76 = 666.

48244002545376 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (48244002545377) 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 79 ways as a sum of consecutive naturals, for example, 2889027075 + ... + 2889043773.

It is an arithmetic number, because the mean of its divisors is an integer number (339520034700).

Almost surely, 248244002545376 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 48244002545376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81484808328000).

48244002545376 is an abundant number, since it is smaller than the sum of its proper divisors (114725614110624).

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

48244002545376 is a wasteful number, since it uses less digits than its factorization.

48244002545376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22084 (or 22067 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 54.

The spelling of 48244002545376 in words is "forty-eight trillion, two hundred forty-four billion, two million, five hundred forty-five thousand, three hundred seventy-six".