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48783130080 = 2535509199669
BaseRepresentation
bin101101011011101100…
…110111110111100000
311122220210001202220120
4231123230313313200
51244401440130310
634224411440240
73344614523016
oct553354676740
9148823052816
1048783130080
1119763894733
129555456080
1347a591ca59
14250ac8c8b6
151407b25b70
hexb5bb37de0

48783130080 has 96 divisors (see below), whose sum is σ = 153969530400. Its totient is φ = 12983212032.

The previous prime is 48783130057. The next prime is 48783130093. The reversal of 48783130080 is 8003138784.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144486 + ... + 344154.

It is an arithmetic number, because the mean of its divisors is an integer number (1603849275).

Almost surely, 248783130080 is an apocalyptic number.

48783130080 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 48783130080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76984765200).

48783130080 is an abundant number, since it is smaller than the sum of its proper divisors (105186400320).

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

48783130080 is a wasteful number, since it uses less digits than its factorization.

48783130080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200196 (or 200188 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 48783130080 in words is "forty-eight billion, seven hundred eighty-three million, one hundred thirty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 509 1018 1527 2036 2545 3054 4072 5090 6108 7635 8144 10180 12216 15270 16288 20360 24432 30540 40720 48864 61080 81440 122160 199669 244320 399338 599007 798676 998345 1198014 1597352 1996690 2396028 2995035 3194704 3993380 4792056 5990070 6389408 7986760 9584112 11980140 15973520 19168224 23960280 31947040 47920560 95841120 101631521 203263042 304894563 406526084 508157605 609789126 813052168 1016315210 1219578252 1524472815 1626104336 2032630420 2439156504 3048945630 3252208672 4065260840 4878313008 6097891260 8130521680 9756626016 12195782520 16261043360 24391565040 48783130080