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48255188480 = 29519979439
BaseRepresentation
bin101100111100001110…
…111011111000000000
311121112222122120011222
4230330032323320000
51242311312012410
634100152054212
73325544222462
oct547416737000
9147488576158
1048255188480
1119512883364
129428694368
134720433885
14249ab02132
1513c65dd955
hexb3c3bbe00

48255188480 has 80 divisors (see below), whose sum is σ = 115769554560. Its totient is φ = 19290365952.

The previous prime is 48255188477. The next prime is 48255188503. The reversal of 48255188480 is 8488155284.

48255188480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5107601 + ... + 5117039.

It is an arithmetic number, because the mean of its divisors is an integer number (1447119432).

Almost surely, 248255188480 is an apocalyptic number.

48255188480 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 48255188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57884777280).

48255188480 is an abundant number, since it is smaller than the sum of its proper divisors (67514366080).

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

48255188480 is an equidigital number, since it uses as much as digits as its factorization.

48255188480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11459 (or 11443 counting only the distinct ones).

The product of its (nonzero) digits is 3276800, while the sum is 53.

The spelling of 48255188480 in words is "forty-eight billion, two hundred fifty-five million, one hundred eighty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 1997 2560 3994 7988 9439 9985 15976 18878 19970 31952 37756 39940 47195 63904 75512 79880 94390 127808 151024 159760 188780 255616 302048 319520 377560 511232 604096 639040 755120 1022464 1208192 1278080 1510240 2416384 2556160 3020480 4832768 5112320 6040960 12081920 18849683 24163840 37699366 75398732 94248415 150797464 188496830 301594928 376993660 603189856 753987320 1206379712 1507974640 2412759424 3015949280 4825518848 6031898560 9651037696 12063797120 24127594240 48255188480