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69384018960 = 24335173160953
BaseRepresentation
bin100000010011110011…
…1000001110000010000
320122002111021100202000
41000213213001300100
52114044302101320
651512524154000
75004254300364
oct1004747016020
9218074240660
1069384018960
1127475519433
1211544698900
136709944a29
143502cad2a4
151c114d7c90
hex10279c1c10

69384018960 has 320 divisors, whose sum is σ = 261214709760. Its totient is φ = 16852008960.

The previous prime is 69384018953. The next prime is 69384018983. The reversal of 69384018960 is 6981048396.

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 = 69384018897 and 69384018906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1107844 + ... + 1168796.

It is an arithmetic number, because the mean of its divisors is an integer number (816295968).

Almost surely, 269384018960 is an apocalyptic number.

69384018960 is a gapful number since it is divisible by the number (60) 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 69384018960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130607354880).

69384018960 is an abundant number, since it is smaller than the sum of its proper divisors (191830690800).

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

69384018960 is a wasteful number, since it uses less digits than its factorization.

69384018960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61023 (or 61011 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 69384018960 in words is "sixty-nine billion, three hundred eighty-four million, eighteen thousand, nine hundred sixty".