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48113345280 = 28357111312517
BaseRepresentation
bin101100110011110001…
…110110001100000000
311121012002202011220010
4230303301312030000
51242014004022110
634034123544520
73322202454450
oct546361661400
9147162664803
1048113345280
111944a802480
1293a908b140
1346c9c2c5a0
142485d3bd60
1513b8e21020
hexb33c76300

48113345280 has 576 divisors, whose sum is σ = 206331890688. Its totient is φ = 9227796480.

The previous prime is 48113345239. The next prime is 48113345281. The reversal of 48113345280 is 8254331184.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (48113345281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3837582 + ... + 3850098.

It is an arithmetic number, because the mean of its divisors is an integer number (358215088).

Almost surely, 248113345280 is an apocalyptic number.

48113345280 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 48113345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103165945344).

48113345280 is an abundant number, since it is smaller than the sum of its proper divisors (158218545408).

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

48113345280 is a wasteful number, since it uses less digits than its factorization.

48113345280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12572 (or 12558 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

It can be divided in two parts, 48113 and 345280, that added together give a palindrome (393393).

The spelling of 48113345280 in words is "forty-eight billion, one hundred thirteen million, three hundred forty-five thousand, two hundred eighty".