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77381685252 = 223213669157253
BaseRepresentation
bin100100000010001001…
…1101101000000000100
321101201212021220101200
41020010103231000010
52231434202412002
655314302022500
75406406320624
oct1100423550004
9241655256350
1077381685252
112a8a9a424a3
1212bb6b77a30
1373b284b851
143a6112a884
15202d6c1b1c
hex12044ed004

77381685252 has 36 divisors (see below), whose sum is σ = 195619258380. Its totient is φ = 25791844032.

The previous prime is 77381685247. The next prime is 77381685253. The reversal of 77381685252 is 25258618377.

77381685252 is a `hidden beast` number, since 7 + 7 + 381 + 6 + 8 + 5 + 252 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25120982016 + 52260703236 = 158496^2 + 228606^2 .

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

It is not an unprimeable number, because it can be changed into a prime (77381685253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 413458 + ... + 570710.

Almost surely, 277381685252 is an apocalyptic number.

It is an amenable number.

77381685252 is an abundant number, since it is smaller than the sum of its proper divisors (118237573128).

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

77381685252 is a wasteful number, since it uses less digits than its factorization.

77381685252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170932 (or 170927 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 77381685252 in words is "seventy-seven billion, three hundred eighty-one million, six hundred eighty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 13669 27338 41007 54676 82014 123021 157253 164028 246042 314506 471759 492084 629012 943518 1415277 1887036 2830554 5661108 2149491257 4298982514 6448473771 8597965028 12896947542 19345421313 25793895084 38690842626 77381685252