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48365505000 = 2337544423
BaseRepresentation
bin101101000010110011…
…110000100111101000
311121211200020020000000
4231002303300213220
51243023032130000
634115132343000
73331354003131
oct550263604750
9147750206000
1048365505000
111956a08083a
129459614a60
13473a24a017
1424ab61ac88
1513d1130000
hexb42cf09e8

48365505000 has 320 divisors, whose sum is σ = 169993084800. Its totient is φ = 12894552000.

The previous prime is 48365504987. The next prime is 48365505017. The reversal of 48365505000 is 50556384.

48365505000 is a `hidden beast` number, since 48 + 3 + 65 + 50 + 500 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10932789 + ... + 10937211.

It is an arithmetic number, because the mean of its divisors is an integer number (531228390).

Almost surely, 248365505000 is an apocalyptic number.

48365505000 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 48365505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84996542400).

48365505000 is an abundant number, since it is smaller than the sum of its proper divisors (121627579800).

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

48365505000 is an frugal number, since it uses more digits than its factorization.

48365505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 48365505000 in words is "forty-eight billion, three hundred sixty-five million, five hundred five thousand".