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48011927040 = 293457113197
BaseRepresentation
bin101100101101101110…
…111101111000000000
311120221000220121020000
4230231232331320000
51241312023131130
634020102120000
73316531434450
oct545556757000
9146830817200
1048011927040
11193a8532450
12937b120000
1346b1c103ac
14247669bd60
1513b008b260
hexb2dbbde00

48011927040 has 1600 divisors, whose sum is σ = 223593689088. Its totient is φ = 9555148800.

The previous prime is 48011927021. The next prime is 48011927077. The reversal of 48011927040 is 4072911084.

48011927040 is a `hidden beast` number, since 480 + 119 + 27 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 48011926986 and 48011927004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 494968272 + ... + 494968368.

Almost surely, 248011927040 is an apocalyptic number.

48011927040 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 48011927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111796844544).

48011927040 is an abundant number, since it is smaller than the sum of its proper divisors (175581762048).

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

48011927040 is a wasteful number, since it uses less digits than its factorization.

48011927040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 48011927040 in words is "forty-eight billion, eleven million, nine hundred twenty-seven thousand, forty".