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48022238880 = 25335711314657
BaseRepresentation
bin101100101110010110…
…010011011010100000
311120221202022111102000
4230232112103122200
51241322143121010
634021111124000
73320015203230
oct545626233240
9146852274360
1048022238880
1119403335930
129382673600
1346b40b0b85
142477bc3cc0
1513b0e267c0
hexb2e5936a0

48022238880 has 768 divisors, whose sum is σ = 216357765120. Its totient is φ = 9654681600.

The previous prime is 48022238863. The next prime is 48022238903. The reversal of 48022238880 is 8883222084.

It is a happy number.

48022238880 is a `hidden beast` number, since 48 + 0 + 222 + 388 + 8 + 0 = 666.

It is a super-2 number, since 2×480222388802 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10309512 + ... + 10314168.

It is an arithmetic number, because the mean of its divisors is an integer number (281715840).

Almost surely, 248022238880 is an apocalyptic number.

48022238880 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 48022238880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108178882560).

48022238880 is an abundant number, since it is smaller than the sum of its proper divisors (168335526240).

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

48022238880 is a wasteful number, since it uses less digits than its factorization.

48022238880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4730 (or 4716 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 48022238880 in words is "forty-eight billion, twenty-two million, two hundred thirty-eight thousand, eight hundred eighty".