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40077476846685 = 3254121722209673
BaseRepresentation
bin10010001110011010000111…
…10001010101110001011101
312020220100222021021121122200
421013031003301111301131
520223112133033043220
6221123201054002113
711304334144265145
oct1107150361256135
9166810867247580
1040077476846685
1111851842953783
1245b3349aa6339
13194939ca54645
149c7a900d7925
15497791939890
hex247343c55c5d

40077476846685 has 24 divisors (see below), whose sum is σ = 71161958892024. Its totient is φ = 20853321285120.

The previous prime is 40077476846683. The next prime is 40077476846717. The reversal of 40077476846685 is 58664867477004.

40077476846685 is a `hidden beast` number, since 4 + 0 + 0 + 77 + 476 + 8 + 4 + 6 + 6 + 85 = 666.

40077476846685 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1299880455129 + 38777596391556 = 1140123^2 + 6227166^2 .

It is not a de Polignac number, because 40077476846685 - 21 = 40077476846683 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40077476846681) 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 23 ways as a sum of consecutive naturals, for example, 10861102992 + ... + 10861106681.

It is an arithmetic number, because the mean of its divisors is an integer number (2965081620501).

Almost surely, 240077476846685 is an apocalyptic number.

40077476846685 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40077476846685 is a deficient number, since it is larger than the sum of its proper divisors (31084482045339).

40077476846685 is a wasteful number, since it uses less digits than its factorization.

40077476846685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21722209725 (or 21722209722 counting only the distinct ones).

The product of its (nonzero) digits is 1517322240, while the sum is 72.

The spelling of 40077476846685 in words is "forty trillion, seventy-seven billion, four hundred seventy-six million, eight hundred forty-six thousand, six hundred eighty-five".

Divisors: 1 3 5 9 15 41 45 123 205 369 615 1845 21722209673 65166629019 108611048365 195499887057 325833145095 890610596593 977499435285 2671831789779 4453052982965 8015495369337 13359158948895 40077476846685