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66559842720 = 2533572419133
BaseRepresentation
bin111101111111010001…
…101001100110100000
320100210200002100021000
4331333101221212200
52042303304431340
650324400232000
74544262220410
oct757721514640
9210720070230
1066559842720
1126256328a88
1210a9690b600
136379801527
143315b94640
151ae85c4d30
hexf7f4699a0

66559842720 has 384 divisors, whose sum is σ = 267373370880. Its totient is φ = 15148892160.

The previous prime is 66559842719. The next prime is 66559842721. The reversal of 66559842720 is 2724895566.

66559842720 is a `hidden beast` number, since 6 + 6 + 5 + 598 + 4 + 27 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (66559842719) and next prime (66559842721).

It is a super-2 number, since 2×665598427202 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (66559842721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7283274 + ... + 7292406.

It is an arithmetic number, because the mean of its divisors is an integer number (696284820).

Almost surely, 266559842720 is an apocalyptic number.

66559842720 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 66559842720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133686685440).

66559842720 is an abundant number, since it is smaller than the sum of its proper divisors (200813528160).

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

66559842720 is a wasteful number, since it uses less digits than its factorization.

66559842720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9405 (or 9391 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 66559842720 in words is "sixty-six billion, five hundred fifty-nine million, eight hundred forty-two thousand, seven hundred twenty".