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6405149734191 = 3313315237112403
BaseRepresentation
bin101110100110101000010…
…1011001011010100101111
3211200022210220020112011000
41131031100223023110233
51314420221312443231
621342252443531343
71230520403301405
oct135152053132457
924608726215130
106405149734191
11204a45505231a
1287543b829b53
13376006864920
14182021cad475
15b192ca136e6
hex5d350acb52f

6405149734191 has 64 divisors (see below), whose sum is σ = 10550796963840. Its totient is φ = 3813718930560.

The previous prime is 6405149734189. The next prime is 6405149734273. The reversal of 6405149734191 is 1914379415046.

6405149734191 is a `hidden beast` number, since 6 + 4 + 0 + 514 + 9 + 7 + 34 + 1 + 91 = 666.

It is not a de Polignac number, because 6405149734191 - 21 = 6405149734189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6405149734591) 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 63 ways as a sum of consecutive naturals, for example, 56927596 + ... + 57039998.

It is an arithmetic number, because the mean of its divisors is an integer number (164856202560).

Almost surely, 26405149734191 is an apocalyptic number.

6405149734191 is a deficient number, since it is larger than the sum of its proper divisors (4145647229649).

6405149734191 is a wasteful number, since it uses less digits than its factorization.

6405149734191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117693 (or 117687 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 6405149734191 in words is "six trillion, four hundred five billion, one hundred forty-nine million, seven hundred thirty-four thousand, one hundred ninety-one".

Divisors: 1 3 9 13 27 31 39 93 117 279 351 403 837 1209 3627 5237 10881 15711 47133 68081 112403 141399 162347 204243 337209 487041 612729 1011627 1461123 1461239 1838187 2110511 3034881 3484493 4383369 4383717 6331533 10453479 13151151 18994599 31360437 39453453 45298409 56983797 94081311 135895227 407685681 588654511 1223057043 1765963533 5297890599 7652508643 15893671797 18248289841 22957525929 54744869523 68872577787 164234608569 206617733361 237227767933 492703825707 711683303799 2135049911397 6405149734191