Search a number
-
+
48168207360 = 2103357213547
BaseRepresentation
bin101100110111000011…
…001000010000000000
311121022220222110112000
4230313003020100000
51242122030113420
634043403504000
73323440002300
oct546703102000
9147286873460
1048168207360
1119478774139
129403528000
1347083caa60
14248d33d600
1513bdb5b690
hexb370c8400

48168207360 has 1056 divisors, whose sum is σ = 214838709120. Its totient is φ = 10144382976.

The previous prime is 48168207349. The next prime is 48168207379. The reversal of 48168207360 is 6370286184.

48168207360 is a `hidden beast` number, since 4 + 81 + 6 + 8 + 207 + 360 = 666.

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 95 ways as a sum of consecutive naturals, for example, 88058607 + ... + 88059153.

Almost surely, 248168207360 is an apocalyptic number.

48168207360 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 48168207360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107419354560).

48168207360 is an abundant number, since it is smaller than the sum of its proper divisors (166670501760).

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

48168207360 is a wasteful number, since it uses less digits than its factorization.

48168207360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 48168207360 in words is "forty-eight billion, one hundred sixty-eight million, two hundred seven thousand, three hundred sixty".