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66418427520 = 2733531123989
BaseRepresentation
bin111101110110110110…
…001100011010000000
320100102210222201002000
4331312312030122000
52042011104140040
650302345224000
74540624214244
oct756666143200
9210383881060
1066418427520
112619351a715
1210a57492000
136356419cb3
1433010a2424
151adae8e130
hexf76d8c680

66418427520 has 256 divisors, whose sum is σ = 242822016000. Its totient is φ = 17140101120.

The previous prime is 66418427519. The next prime is 66418427521. The reversal of 66418427520 is 2572481466.

66418427520 is a `hidden beast` number, since 6 + 6 + 41 + 84 + 2 + 7 + 520 = 666.

66418427520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66418427519) and next prime (66418427521).

It is a super-2 number, since 2×664184275202 (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 (66418427521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 473686 + ... + 597674.

It is an arithmetic number, because the mean of its divisors is an integer number (948523500).

Almost surely, 266418427520 is an apocalyptic number.

66418427520 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 66418427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121411008000).

66418427520 is an abundant number, since it is smaller than the sum of its proper divisors (176403588480).

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

66418427520 is a wasteful number, since it uses less digits than its factorization.

66418427520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124048 (or 124030 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 66418427520 in words is "sixty-six billion, four hundred eighteen million, four hundred twenty-seven thousand, five hundred twenty".