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48874475520 = 212335132523
BaseRepresentation
bin101101100001001001…
…010101000000000000
311200011010221121022000
4231201021111000000
51300043331204040
634241433344000
73350104121163
oct554111250000
9150133847260
1048874475520
1119800404932
12957bb68000
1347bb823200
142519069ada
151410b6b130
hexb61255000

48874475520 has 624 divisors, whose sum is σ = 188508329280. Its totient is φ = 12007636992.

The previous prime is 48874475491. The next prime is 48874475537. The reversal of 48874475520 is 2557447884.

48874475520 is a `hidden beast` number, since 4 + 8 + 8 + 7 + 44 + 75 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93449979 + ... + 93450501.

Almost surely, 248874475520 is an apocalyptic number.

48874475520 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 48874475520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94254164640).

48874475520 is an abundant number, since it is smaller than the sum of its proper divisors (139633853760).

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

48874475520 is a wasteful number, since it uses less digits than its factorization.

48874475520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 10035200, while the sum is 54.

The spelling of 48874475520 in words is "forty-eight billion, eight hundred seventy-four million, four hundred seventy-five thousand, five hundred twenty".