Search a number
-
+
77724066141 = 328636007349
BaseRepresentation
bin100100001100010110…
…1110010000101011101
321102121201112122200100
41020120231302011131
52233134330104031
655412252251313
75421034442631
oct1103055620535
9242551478610
1077724066141
112aa65233307
1213091770b39
137438767aa7
143a947b2dc1
15204d7a2de6
hex1218b7215d

77724066141 has 6 divisors (see below), whose sum is σ = 112268095550. Its totient is φ = 51816044088.

The previous prime is 77724066131. The next prime is 77724066157. The reversal of 77724066141 is 14166042777.

77724066141 is a `hidden beast` number, since 7 + 7 + 7 + 24 + 0 + 6 + 614 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51424632900 + 26299433241 = 226770^2 + 162171^2 .

It is not a de Polignac number, because 77724066141 - 213 = 77724057949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77724066131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4318003666 + ... + 4318003683.

Almost surely, 277724066141 is an apocalyptic number.

It is an amenable number.

77724066141 is a deficient number, since it is larger than the sum of its proper divisors (34544029409).

77724066141 is a wasteful number, since it uses less digits than its factorization.

77724066141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8636007355 (or 8636007352 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 77724066141 in words is "seventy-seven billion, seven hundred twenty-four million, sixty-six thousand, one hundred forty-one".

Divisors: 1 3 9 8636007349 25908022047 77724066141