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66601516097 = 172295378041
BaseRepresentation
bin111110000001110000…
…100111110001000001
320100220120111120101102
4332001300213301001
52042344442003342
650332445344145
74545306355214
oct760160476101
9210816446342
1066601516097
1126277901896
1210aa8868055
13638533292c
14331b52177b
151aec0a7832
hexf81c27c41

66601516097 has 12 divisors (see below), whose sum is σ = 70774572876. Its totient is φ = 62661749760.

The previous prime is 66601516073. The next prime is 66601516099. The reversal of 66601516097 is 79061510666.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4023491761 + 62578024336 = 63431^2 + 250156^2 .

It is not a de Polignac number, because 66601516097 - 216 = 66601450561 is a prime.

It is a super-2 number, since 2×666015160972 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66601516099) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 814397 + ... + 892437.

It is an arithmetic number, because the mean of its divisors is an integer number (5897881073).

Almost surely, 266601516097 is an apocalyptic number.

It is an amenable number.

66601516097 is a deficient number, since it is larger than the sum of its proper divisors (4173056779).

66601516097 is a wasteful number, since it uses less digits than its factorization.

66601516097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81028 (or 81011 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 47.

The spelling of 66601516097 in words is "sixty-six billion, six hundred one million, five hundred sixteen thousand, ninety-seven".

Divisors: 1 17 289 2953 50201 78041 853417 1326697 22553849 230455073 3917736241 66601516097