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6626746401 = 3114137912923
BaseRepresentation
bin1100010101111110…
…00010000000100001
3122002211101121002220
412022333002000201
5102032421341101
63013322101253
7323134262232
oct61277020041
918084347086
106626746401
1128a0697720
12134b34a829
13817b9a722
1446c159089
1528bb8a636
hex18afc2021

6626746401 has 32 divisors (see below), whose sum is σ = 9900817920. Its totient is φ = 3907612800.

The previous prime is 6626746369. The next prime is 6626746429. The reversal of 6626746401 is 1046476266.

It is a happy number.

It is not a de Polignac number, because 6626746401 - 25 = 6626746369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6626726401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506326 + ... + 519248.

It is an arithmetic number, because the mean of its divisors is an integer number (309400560).

Almost surely, 26626746401 is an apocalyptic number.

It is an amenable number.

6626746401 is a deficient number, since it is larger than the sum of its proper divisors (3274071519).

6626746401 is a wasteful number, since it uses less digits than its factorization.

6626746401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13357.

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 6626746401 is about 81404.8303296555. The cubic root of 6626746401 is about 1878.3078935850.

The spelling of 6626746401 in words is "six billion, six hundred twenty-six million, seven hundred forty-six thousand, four hundred one".

Divisors: 1 3 11 33 41 123 379 451 1137 1353 4169 12507 12923 15539 38769 46617 142153 170929 426459 512787 529843 1589529 4897817 5828273 14693451 17484819 53875987 161627961 200810497 602431491 2208915467 6626746401