Search a number
-
+
45380710080 = 263451799781
BaseRepresentation
bin101010010000111001…
…101010111011000000
311100010122210221010000
4222100321222323000
51220414430210310
632503030040000
73164401446126
oct522071527300
9140118727100
1045380710080
1118278256182
128965aa9000
134382a5a594
1422a7051916
1512a90914c0
hexa90e6aec0

45380710080 has 280 divisors, whose sum is σ = 162345593520. Its totient is φ = 12032686080.

The previous prime is 45380710051. The next prime is 45380710153. The reversal of 45380710080 is 8001708354.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4634790 + ... + 4644570.

Almost surely, 245380710080 is an apocalyptic number.

45380710080 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 45380710080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81172796760).

45380710080 is an abundant number, since it is smaller than the sum of its proper divisors (116964883440).

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

45380710080 is a wasteful number, since it uses less digits than its factorization.

45380710080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9989 (or 9970 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 45380710080 in words is "forty-five billion, three hundred eighty million, seven hundred ten thousand, eighty".