Search a number
-
+
66142600237 = 717354618167
BaseRepresentation
bin111101100110011001…
…111111110000101101
320022201120222020011201
4331212121333300231
52040430001201422
650215133245501
74531034553130
oct754631776055
9208646866151
1066142600237
112606185658a
121099b033891
13631123399c
1432b65c2217
151ac1b57727
hexf6667fc2d

66142600237 has 8 divisors (see below), whose sum is σ = 76028489856. Its totient is φ = 56365947312.

The previous prime is 66142600231. The next prime is 66142600289. The reversal of 66142600237 is 73200624166.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 66142600237 - 219 = 66142075949 is a prime.

It is a super-3 number, since 3×661426002373 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 66142600196 and 66142600205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66142600231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27307873 + ... + 27310294.

It is an arithmetic number, because the mean of its divisors is an integer number (9503561232).

Almost surely, 266142600237 is an apocalyptic number.

It is an amenable number.

66142600237 is a deficient number, since it is larger than the sum of its proper divisors (9885889619).

66142600237 is a wasteful number, since it uses less digits than its factorization.

66142600237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54618347.

The product of its (nonzero) digits is 72576, while the sum is 37.

The spelling of 66142600237 in words is "sixty-six billion, one hundred forty-two million, six hundred thousand, two hundred thirty-seven".

Divisors: 1 7 173 1211 54618167 382327169 9448942891 66142600237