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48167105448 = 2337211172389107
BaseRepresentation
bin101100110110111110…
…111011001110101000
311121022211220110222110
4230312332323032220
51242121234333243
634043324122320
73323424432600
oct546676731650
9147284813873
1048167105448
1119478091270
1294030963a0
134708103337
14248d133c00
1513bd9dee33
hexb36fbb3a8

48167105448 has 768 divisors, whose sum is σ = 172328601600. Its totient is φ = 11032412160.

The previous prime is 48167105443. The next prime is 48167105461. The reversal of 48167105448 is 84450176184.

It is a junction number, because it is equal to n+sod(n) for n = 48167105397 and 48167105406.

It is not an unprimeable number, because it can be changed into a prime (48167105443) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 450159811 + ... + 450159917.

It is an arithmetic number, because the mean of its divisors is an integer number (224386200).

Almost surely, 248167105448 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 48167105448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86164300800).

48167105448 is an abundant number, since it is smaller than the sum of its proper divisors (124161496152).

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

48167105448 is a wasteful number, since it uses less digits than its factorization.

48167105448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 48167105448 in words is "forty-eight billion, one hundred sixty-seven million, one hundred five thousand, four hundred forty-eight".