Search a number
-
+
77108466141 = 3271223943907
BaseRepresentation
bin100011111010000000…
…1011101000111011101
321101000211011221020100
41013310001131013131
52230404231404031
655231222011313
75366551101510
oct1076401350735
9241024157210
1077108466141
112a77979a983
1212b3b576b39
13736b069735
143a36b28d77
152014702de6
hex11f405d1dd

77108466141 has 12 divisors (see below), whose sum is σ = 127290166432. Its totient is φ = 44061980616.

The previous prime is 77108466133. The next prime is 77108466157. The reversal of 77108466141 is 14166480177.

77108466141 is a `hidden beast` number, since 77 + 108 + 466 + 14 + 1 = 666.

It is not a de Polignac number, because 77108466141 - 23 = 77108466133 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77108466101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 611971891 + ... + 611972016.

Almost surely, 277108466141 is an apocalyptic number.

It is an amenable number.

77108466141 is a deficient number, since it is larger than the sum of its proper divisors (50181700291).

77108466141 is a wasteful number, since it uses less digits than its factorization.

77108466141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223943920 (or 1223943917 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

It can be divided in two parts, 771084 and 66141, that added together give a square (837225 = 9152).

The spelling of 77108466141 in words is "seventy-seven billion, one hundred eight million, four hundred sixty-six thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 63 1223943907 3671831721 8567607349 11015495163 25702822047 77108466141