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48216947760 = 24345107197353
BaseRepresentation
bin101100111001111101…
…000011110000110000
311121110022200201210000
4230321331003300300
51242222014312020
634052304310000
73324601202502
oct547175036060
9147408621700
1048216947760
11194a3234563
129417912300
134715534a27
1424959c9d72
1513c3088090
hexb39f43c30

48216947760 has 400 divisors, whose sum is σ = 170368979616. Its totient is φ = 12637126656.

The previous prime is 48216947749. The next prime is 48216947761. The reversal of 48216947760 is 6774961284.

48216947760 is a `hidden beast` number, since 4 + 8 + 2 + 169 + 477 + 6 + 0 = 666.

48216947760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 48216947697 and 48216947706.

It is not an unprimeable number, because it can be changed into a prime (48216947761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 136591744 + ... + 136592096.

Almost surely, 248216947760 is an apocalyptic number.

48216947760 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 48216947760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85184489808).

48216947760 is an abundant number, since it is smaller than the sum of its proper divisors (122152031856).

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

48216947760 is a wasteful number, since it uses less digits than its factorization.

48216947760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 48216947760 in words is "forty-eight billion, two hundred sixteen million, nine hundred forty-seven thousand, seven hundred sixty".