Search a number
-
+
77740342868340 = 22325431890793713
BaseRepresentation
bin10001101011010001010101…
…100001010111100101110100
3101012020220102011022012100200
4101223101111201113211310
540142144210233241330
6433201230454040500
722242361111322565
oct2153212541274564
9335226364265320
1077740342868340
1122852548954169
128876723649130
13344bb628ab899
14152a91cd0216c
158ec310e0ea60
hex46b455857974

77740342868340 has 36 divisors (see below), whose sum is σ = 235812373367844. Its totient is φ = 20730758098176.

The previous prime is 77740342868303. The next prime is 77740342868347. The reversal of 77740342868340 is 4386824304777.

77740342868340 is a `hidden beast` number, since 7 + 7 + 7 + 4 + 0 + 3 + 4 + 286 + 8 + 340 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51893063171856 + 25847279696484 = 7203684^2 + 5084022^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77740342868347) 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 11 ways as a sum of consecutive naturals, for example, 215945396677 + ... + 215945397036.

Almost surely, 277740342868340 is an apocalyptic number.

It is an amenable number.

77740342868340 is an abundant number, since it is smaller than the sum of its proper divisors (158072030499504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77740342868340 is a wasteful number, since it uses less digits than its factorization.

77740342868340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431890793728 (or 431890793723 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 63.

The spelling of 77740342868340 in words is "seventy-seven trillion, seven hundred forty billion, three hundred forty-two million, eight hundred sixty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 431890793713 863781587426 1295672381139 1727563174852 2159453968565 2591344762278 3887017143417 4318907937130 5182689524556 6478361905695 7774034286834 8637815874260 12956723811390 15548068573668 19435085717085 25913447622780 38870171434170 77740342868340