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48212055360 = 263557233851
BaseRepresentation
bin101100111001101010…
…011001010101000000
311121102222111011200000
4230321222121111000
51242214241232420
634052011400000
73324511465110
oct547152312500
9147388434600
1048212055360
11194a04a2857
129416153000
134714510c11
1424950b5040
1513c291d690
hexb39a99540

48212055360 has 672 divisors, whose sum is σ = 205136934912. Its totient is φ = 10538035200.

The previous prime is 48212055329. The next prime is 48212055449. The reversal of 48212055360 is 6355021284.

48212055360 is a `hidden beast` number, since 4 + 8 + 21 + 20 + 553 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12517435 + ... + 12521285.

It is an arithmetic number, because the mean of its divisors is an integer number (305263296).

Almost surely, 248212055360 is an apocalyptic number.

48212055360 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 48212055360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102568467456).

48212055360 is an abundant number, since it is smaller than the sum of its proper divisors (156924879552).

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

48212055360 is a wasteful number, since it uses less digits than its factorization.

48212055360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3913 (or 3891 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 48212055360 in words is "forty-eight billion, two hundred twelve million, fifty-five thousand, three hundred sixty".