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48748677120 = 2113551113137
BaseRepresentation
bin101101011001101001…
…011100100000000000
311122211101020101100000
4231121221130200000
51244314130131440
634221141200000
73344015630043
oct553151344000
9148741211300
1048748677120
11197463a2710
129545a00000
13479b748ca0
142506480c5a
151404abc730
hexb59a5c800

48748677120 has 1152 divisors, whose sum is σ = 207345640320. Its totient is φ = 10829168640.

The previous prime is 48748677119. The next prime is 48748677121. The reversal of 48748677120 is 2177684784.

48748677120 is a `hidden beast` number, since 4 + 87 + 486 + 77 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48748677119) and next prime (48748677121).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×487486771202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (48748677121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 355829692 + ... + 355829828.

It is an arithmetic number, because the mean of its divisors is an integer number (179987535).

Almost surely, 248748677120 is an apocalyptic number.

48748677120 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 48748677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103672820160).

48748677120 is an abundant number, since it is smaller than the sum of its proper divisors (158596963200).

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

48748677120 is a wasteful number, since it uses less digits than its factorization.

48748677120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 48748677120 in words is "forty-eight billion, seven hundred forty-eight million, six hundred seventy-seven thousand, one hundred twenty".