Search a number
-
+
48795626880 = 27335721113231
BaseRepresentation
bin101101011100011100…
…100010110110000000
311122221122120200022000
4231130130202312000
51244413140030010
634225535344000
73345125661600
oct553434426600
9148848520260
1048795626880
111976a94a770
129559682000
1347a83a6c00
14250c7c2c00
151408c937c0
hexb5c722d80

48795626880 has 2304 divisors, whose sum is σ = 245136844800. Its totient is φ = 9057484800.

The previous prime is 48795626863. The next prime is 48795626909. The reversal of 48795626880 is 8862659784.

48795626880 is a `hidden beast` number, since 4 + 8 + 7 + 9 + 562 + 68 + 8 + 0 = 666.

It is a super-2 number, since 2×487956268802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1574052465 + ... + 1574052495.

It is an arithmetic number, because the mean of its divisors is an integer number (106396200).

Almost surely, 248795626880 is an apocalyptic number.

48795626880 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 48795626880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122568422400).

48795626880 is an abundant number, since it is smaller than the sum of its proper divisors (196341217920).

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

48795626880 is a wasteful number, since it uses less digits than its factorization.

48795626880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 48795626880 in words is "forty-eight billion, seven hundred ninety-five million, six hundred twenty-six thousand, eight hundred eighty".