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66107004623001 = 3293769771123561
BaseRepresentation
bin11110000011111101111001…
…00001110001100010011001
322200001202201211000010110200
433001332330201301202121
532131044121140414001
6352333045541532413
716632034125640536
oct1701767441614231
9280052654003420
1066107004623001
111a077906781591
1274b7b92114109
132ab6b2c981c54
14124784b987d8d
157998dcba4086
hex3c1fbc871899

66107004623001 has 24 divisors (see below), whose sum is σ = 95603589465384. Its totient is φ = 44017952808960.

The previous prime is 66107004622999. The next prime is 66107004623003. The reversal of 66107004623001 is 10032640070166.

It is a happy number.

66107004623001 is a `hidden beast` number, since 6 + 610 + 7 + 0 + 0 + 4 + 6 + 2 + 30 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (66107004622999) and next prime (66107004623003).

It can be written as a sum of positive squares in 4 ways, for example, as 11573195763600 + 54533808859401 = 3401940^2 + 7384701^2 .

It is not a de Polignac number, because 66107004623001 - 21 = 66107004622999 is a prime.

It is a super-2 number, since 2×661070046230012 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66107004623003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58275261 + ... + 59398821.

It is an arithmetic number, because the mean of its divisors is an integer number (3983482894391).

Almost surely, 266107004623001 is an apocalyptic number.

It is an amenable number.

66107004623001 is a deficient number, since it is larger than the sum of its proper divisors (29496584842383).

66107004623001 is a wasteful number, since it uses less digits than its factorization.

66107004623001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131481 (or 1131478 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 66107004623001 its reverse (10032640070166), we get a palindrome (76139644693167).

The spelling of 66107004623001 in words is "sixty-six trillion, one hundred seven billion, four million, six hundred twenty-three thousand, one".

Divisors: 1 3 9 937 2811 6977 8433 20931 62793 1123561 3370683 6537449 10112049 19612347 58837041 1052776657 3158329971 7839085097 9474989913 23517255291 70551765873 7345222735889 22035668207667 66107004623001