Search a number
-
+
4106667111077 = 61973491988669
BaseRepresentation
bin111011110000101000011…
…011110011001010100101
3112112121000200200101012202
4323300220123303022211
51014240423240023302
612422324332224245
7602461016331206
oct73605033631245
915477020611182
104106667111077
11134369a583a23
12563a9660b085
1323a3459693cb
14102a99a255ad
1571c556a5202
hex3bc286f32a5

4106667111077 has 16 divisors (see below), whose sum is σ = 4229105622000. Its totient is φ = 3986245232640.

The previous prime is 4106667111067. The next prime is 4106667111091. The reversal of 4106667111077 is 7701117666014.

It can be written as a sum of positive squares in 8 ways, for example, as 277166449156 + 3829500661921 = 526466^2 + 1956911^2 .

It is a cyclic number.

It is not a de Polignac number, because 4106667111077 - 212 = 4106667106981 is a prime.

It is a super-2 number, since 2×41066671110772 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4106667111067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1070699 + ... + 3059367.

It is an arithmetic number, because the mean of its divisors is an integer number (264319101375).

Almost surely, 24106667111077 is an apocalyptic number.

It is an amenable number.

4106667111077 is a deficient number, since it is larger than the sum of its proper divisors (122438510923).

4106667111077 is a wasteful number, since it uses less digits than its factorization.

4106667111077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989176.

The product of its (nonzero) digits is 296352, while the sum is 47.

The spelling of 4106667111077 in words is "four trillion, one hundred six billion, six hundred sixty-seven million, one hundred eleven thousand, seventy-seven".

Divisors: 1 61 97 349 5917 21289 33853 1988669 2065033 121308809 192900893 694045481 11766954473 42336774341 67322411657 4106667111077