Search a number
-
+
48926021760 = 27345721117103
BaseRepresentation
bin101101100100001101…
…111101100010000000
311200021201221102110000
4231210031331202000
51300200030144020
634250514240000
73351301215600
oct554415754200
9150251842400
1048926021760
1119827511330
129595286000
1347c9400345
142521c46c00
15141544e090
hexb6437d880

48926021760 has 1920 divisors, whose sum is σ = 237049338240. Its totient is φ = 9475522560.

The previous prime is 48926021759. The next prime is 48926021779. The reversal of 48926021760 is 6712062984.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 475009869 + ... + 475009971.

It is an arithmetic number, because the mean of its divisors is an integer number (123463197).

Almost surely, 248926021760 is an apocalyptic number.

48926021760 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 48926021760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118524669120).

48926021760 is an abundant number, since it is smaller than the sum of its proper divisors (188123316480).

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

48926021760 is a wasteful number, since it uses less digits than its factorization.

48926021760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 48926021760 in words is "forty-eight billion, nine hundred twenty-six million, twenty-one thousand, seven hundred sixty".