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406064235132997 = 71576613347167009
BaseRepresentation
bin101110001010100000011001…
…0011111011011100001000101
31222020202100202201112112001221
41130111000302133123201011
5411210424023143223442
63555343200115520341
7151350113201026660
oct13425006237334105
91866670681475057
10406064235132997
11108425969729221
1239661b768b90b1
1314576901894b8c
14723b88456a6d7
1531e29e1538467
hex17150327db845

406064235132997 has 32 divisors (see below), whose sum is σ = 467878392080640. Its totient is φ = 345209704519680.

The previous prime is 406064235132971. The next prime is 406064235133019. The reversal of 406064235132997 is 799231532460604.

It is a happy number.

It is not a de Polignac number, because 406064235132997 - 27 = 406064235132869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406064235132937) 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 31 ways as a sum of consecutive naturals, for example, 2431307829 + ... + 2431474837.

It is an arithmetic number, because the mean of its divisors is an integer number (14621199752520).

Almost surely, 2406064235132997 is an apocalyptic number.

It is an amenable number.

406064235132997 is a deficient number, since it is larger than the sum of its proper divisors (61814156947643).

406064235132997 is a wasteful number, since it uses less digits than its factorization.

406064235132997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171181.

The product of its (nonzero) digits is 58786560, while the sum is 61.

The spelling of 406064235132997 in words is "four hundred six trillion, sixty-four billion, two hundred thirty-five million, one hundred thirty-two thousand, nine hundred ninety-seven".

Divisors: 1 7 157 661 1099 3347 4627 23429 103777 167009 525479 726439 1169063 2212367 3678353 15486569 26220413 110392949 183542891 347341619 558979123 772750643 2431391333 3912853861 17331692993 87759722311 121321850951 369485200303 614318056177 2586396402121 58009176447571 406064235132997