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48208145000 = 235477312473
BaseRepresentation
bin101100111001011011…
…011110101001101000
311121102201010111122212
4230321123132221220
51242212241120000
634051351504252
73324433320461
oct547133365150
9147381114585
1048208145000
1119499271954
129414988088
1347137720b2
142494777d68
1513c23e9c35
hexb396dea68

48208145000 has 80 divisors (see below), whose sum is σ = 113106872340. Its totient is φ = 19256768000.

The previous prime is 48208144987. The next prime is 48208145023. The reversal of 48208145000 is 54180284.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 9003352996 + 39204792004 = 94886^2 + 198002^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3858764 + ... + 3871236.

Almost surely, 248208145000 is an apocalyptic number.

48208145000 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 48208145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56553436170).

48208145000 is an abundant number, since it is smaller than the sum of its proper divisors (64898727340).

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

48208145000 is a wasteful number, since it uses less digits than its factorization.

48208145000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13272 (or 13253 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The spelling of 48208145000 in words is "forty-eight billion, two hundred eight million, one hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 773 1000 1250 1546 2500 3092 3865 5000 6184 7730 12473 15460 19325 24946 30920 38650 49892 62365 77300 96625 99784 124730 154600 193250 249460 311825 386500 483125 498920 623650 773000 966250 1247300 1559125 1932500 2494600 3118250 3865000 6236500 7795625 9641629 12473000 15591250 19283258 31182500 38566516 48208145 62365000 77133032 96416290 192832580 241040725 385665160 482081450 964162900 1205203625 1928325800 2410407250 4820814500 6026018125 9641629000 12052036250 24104072500 48208145000