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484916226048 = 2113323438867
BaseRepresentation
bin1110000111001110100…
…00100110100000000000
31201100122122102121022000
413003213100212200000
530421102023213143
61010433433344000
750014450625112
oct7034720464000
91640578377260
10484916226048
11177719627911
1279b91568000
133695c14c947
1419681c333b2
15c9317c1bd3
hex70e7426800

484916226048 has 384 divisors, whose sum is σ = 1533922790400. Its totient is φ = 150998335488.

The previous prime is 484916226023. The next prime is 484916226059. The reversal of 484916226048 is 840622619484.

It is a happy number.

484916226048 is a `hidden beast` number, since 4 + 8 + 4 + 9 + 1 + 6 + 22 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 484916225985 and 484916226003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54683311 + ... + 54692177.

It is an arithmetic number, because the mean of its divisors is an integer number (3994590600).

Almost surely, 2484916226048 is an apocalyptic number.

484916226048 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 484916226048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766961395200).

484916226048 is an abundant number, since it is smaller than the sum of its proper divisors (1049006564352).

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

484916226048 is a wasteful number, since it uses less digits than its factorization.

484916226048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8964 (or 8938 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 484916226048 in words is "four hundred eighty-four billion, nine hundred sixteen million, two hundred twenty-six thousand, forty-eight".