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48006723960 = 233251397105751
BaseRepresentation
bin101100101101011011…
…000111100101111000
311120220200010020221100
4230231123013211320
51241304210131320
634015354411400
73316436264226
oct545533074570
9146820106840
1048006723960
11193a55a9288
129379430b60
1346b0b0b050
142475b05b16
1513ae8ae790
hexb2d6c7978

48006723960 has 192 divisors, whose sum is σ = 169757340480. Its totient is φ = 11695104000.

The previous prime is 48006723913. The next prime is 48006723979. The reversal of 48006723960 is 6932760084.

48006723960 is a `hidden beast` number, since 480 + 0 + 67 + 23 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 401085 + ... + 506835.

It is an arithmetic number, because the mean of its divisors is an integer number (884152815).

Almost surely, 248006723960 is an apocalyptic number.

48006723960 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 48006723960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84878670240).

48006723960 is an abundant number, since it is smaller than the sum of its proper divisors (121750616520).

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

48006723960 is a wasteful number, since it uses less digits than its factorization.

48006723960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105878 (or 105871 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 48006723960 in words is "forty-eight billion, six million, seven hundred twenty-three thousand, nine hundred sixty".