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67716483120 = 2432511133311987
BaseRepresentation
bin111111000100001101…
…111000100000110000
320110210021111202121100
4333010031320200300
52102140404424440
651035235124400
74615035416016
oct770415704060
9213707452540
1067716483120
112679a20a040
121115a143700
136502323c30
1433c56388b6
151b64de8230
hexfc4378830

67716483120 has 480 divisors, whose sum is σ = 268114339584. Its totient is φ = 15099955200.

The previous prime is 67716483101. The next prime is 67716483127. The reversal of 67716483120 is 2138461776.

It is a super-2 number, since 2×677164831202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (67716483127) 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, 34078767 + ... + 34080753.

Almost surely, 267716483120 is an apocalyptic number.

67716483120 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 67716483120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134057169792).

67716483120 is an abundant number, since it is smaller than the sum of its proper divisors (200397856464).

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

67716483120 is a wasteful number, since it uses less digits than its factorization.

67716483120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 67716483120 in words is "sixty-seven billion, seven hundred sixteen million, four hundred eighty-three thousand, one hundred twenty".