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413772057684 = 223211493668269
BaseRepresentation
bin1100000010101101011…
…11001000110001010100
31110120000111010101111100
412001112233020301110
523234401121321214
6514030111110100
741615441313456
oct6012657106124
91416014111440
10413772057684
1114a5305a3157
1268237512330
133003195b6bb
14160532a22d6
15ab6aa03309
hex6056bc8c54

413772057684 has 18 divisors (see below), whose sum is σ = 1045923812570. Its totient is φ = 137924019216.

The previous prime is 413772057637. The next prime is 413772057701. The reversal of 413772057684 is 486750277314.

413772057684 is a `hidden beast` number, since 4 + 1 + 377 + 205 + 7 + 68 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 245649096900 + 168122960784 = 495630^2 + 410028^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a self number, because there is not a number n which added to its sum of digits gives 413772057684.

It is a congruent number.

It is an unprimeable number.

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, 5746834099 + ... + 5746834170.

Almost surely, 2413772057684 is an apocalyptic number.

It is an amenable number.

413772057684 is an abundant number, since it is smaller than the sum of its proper divisors (632151754886).

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

413772057684 is a wasteful number, since it uses less digits than its factorization.

413772057684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11493668279 (or 11493668274 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 413772057684 in words is "four hundred thirteen billion, seven hundred seventy-two million, fifty-seven thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 11493668269 22987336538 34481004807 45974673076 68962009614 103443014421 137924019228 206886028842 413772057684