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46444240286405 = 5136724114423301
BaseRepresentation
bin10101000111101101001000…
…11100011011001011000101
320002110000200221221100010122
422203312210130123023011
522041420301003131110
6242440104530231325
712532325366510603
oct1243664434331305
9202400627840118
1046444240286405
111388698992a895
125261256125545
131cbb89995ab50
14b67cadc5a873
155581c4471255
hex2a3da471b2c5

46444240286405 has 32 divisors (see below), whose sum is σ = 60941353269888. Its totient is φ = 33771364704000.

The previous prime is 46444240286399. The next prime is 46444240286413. The reversal of 46444240286405 is 50468204244464.

46444240286405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 46444240286405 - 216 = 46444240220869 is a prime.

It is a super-3 number, since 3×464442402864053 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8288255 + ... + 12711555.

It is an arithmetic number, because the mean of its divisors is an integer number (1904417289684).

Almost surely, 246444240286405 is an apocalyptic number.

It is an amenable number.

46444240286405 is a deficient number, since it is larger than the sum of its proper divisors (14497112983483).

46444240286405 is a wasteful number, since it uses less digits than its factorization.

46444240286405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4425797.

The product of its (nonzero) digits is 23592960, while the sum is 53.

The spelling of 46444240286405 in words is "forty-six trillion, four hundred forty-four billion, two hundred forty million, two hundred eighty-six thousand, four hundred five".

Divisors: 1 5 13 65 67 335 871 2411 4355 12055 31343 156715 161537 807685 2099981 4423301 10499905 22116505 57502913 287514565 296361167 1481805835 3852695171 10664578711 19263475855 53322893555 138639523243 693197616215 714526773637 3572633868185 9288848057281 46444240286405