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48099123072 = 27327111353787
BaseRepresentation
bin101100110010111011…
…100101111110000000
311121011002222121200200
4230302323211332000
51242001333414242
634032455045200
73321640541340
oct546273457600
9147132877620
1048099123072
1119442779090
1293a4370800
1346c6cbcc90
1424840b8d20
1513b7a6204c
hexb32ee5f80

48099123072 has 768 divisors, whose sum is σ = 189584478720. Its totient is φ = 11300290560.

The previous prime is 48099123071. The next prime is 48099123073. The reversal of 48099123072 is 27032199084.

48099123072 is a `hidden beast` number, since 480 + 99 + 12 + 3 + 0 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (48099123071) and next prime (48099123073).

It is a super-3 number, since 3×480991230723 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48099123071) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 61116663 + ... + 61117449.

It is an arithmetic number, because the mean of its divisors is an integer number (246854790).

Almost surely, 248099123072 is an apocalyptic number.

48099123072 is a gapful number since it is divisible by the number (42) 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 48099123072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94792239360).

48099123072 is an abundant number, since it is smaller than the sum of its proper divisors (141485355648).

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

48099123072 is a wasteful number, since it uses less digits than its factorization.

48099123072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

It can be divided in two parts, 48099 and 123072, that added together give a palindrome (171171).

The spelling of 48099123072 in words is "forty-eight billion, ninety-nine million, one hundred twenty-three thousand, seventy-two".