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48008110320 = 2435529314167
BaseRepresentation
bin101100101101100000…
…011010000011110000
311120220202201200200000
4230231200122003300
51241310034012240
634015444230000
73316454130132
oct545540320360
9146822650600
1048008110320
11193a6365935
12937999b300
1346b11a5091
142475d87052
1513aea85430
hexb2d81a0f0

48008110320 has 960 divisors, whose sum is σ = 185628119040. Its totient is φ = 11496038400.

The previous prime is 48008110259. The next prime is 48008110343. The reversal of 48008110320 is 2301180084.

48008110320 is a `hidden beast` number, since 480 + 0 + 81 + 103 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 716538927 + ... + 716538993.

It is an arithmetic number, because the mean of its divisors is an integer number (193362624).

Almost surely, 248008110320 is an apocalyptic number.

48008110320 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 48008110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92814059520).

48008110320 is an abundant number, since it is smaller than the sum of its proper divisors (137620008720).

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

48008110320 is a wasteful number, since it uses less digits than its factorization.

48008110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 48008110320 in words is "forty-eight billion, eight million, one hundred ten thousand, three hundred twenty".