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46540755441135 = 335769448304729
BaseRepresentation
bin10101001010100000111010…
…01100100001010111101111
320002210020211021020012101000
422211100131030201113233
522100010431343104020
6242552310005051343
712542313210005424
oct1245203514412757
9202706737205330
1046540755441135
111391390714a07a
125277ab09b6b53
131cc7a0b4a8b67
14b6c828145d4b
1555a972794090
hex2a541d3215ef

46540755441135 has 32 divisors (see below), whose sum is σ = 82846714104000. Its totient is φ = 24789458239488.

The previous prime is 46540755441077. The next prime is 46540755441211. The reversal of 46540755441135 is 53114455704564.

46540755441135 is a `hidden beast` number, since 4 + 6 + 5 + 40 + 7 + 554 + 4 + 11 + 35 = 666.

46540755441135 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 46540755441135 - 212 = 46540755437039 is a prime.

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, 224048550 + ... + 224256179.

It is an arithmetic number, because the mean of its divisors is an integer number (2588959815750).

Almost surely, 246540755441135 is an apocalyptic number.

46540755441135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

46540755441135 is a deficient number, since it is larger than the sum of its proper divisors (36305958662865).

46540755441135 is a wasteful number, since it uses less digits than its factorization.

46540755441135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448305512 (or 448305506 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 54.

The spelling of 46540755441135 in words is "forty-six trillion, five hundred forty billion, seven hundred fifty-five million, four hundred forty-one thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 135 769 2307 3845 6921 11535 20763 34605 103815 448304729 1344914187 2241523645 4034742561 6724570935 12104227683 20173712805 60521138415 344746336601 1034239009803 1723731683005 3102717029409 5171195049015 9308151088227 15513585147045 46540755441135