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16456413321 = 32171091975009
BaseRepresentation
bin11110101001110000…
…01111000010001001
31120110212122102011200
433110320033002021
5232200320211241
611320542014413
71121543130255
oct172470170211
946425572150
1016456413321
116a85241997
123233277409
1317234ba09a
14b2181d265
15664aee4b6
hex3d4e0f089

16456413321 has 48 divisors (see below), whose sum is σ = 25533565200. Its totient is φ = 10176897024.

The previous prime is 16456413301. The next prime is 16456413329. The reversal of 16456413321 is 12331465461.

16456413321 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 641 + 3 + 3 + 2 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4588707600 + 11867705721 = 67740^2 + 108939^2 .

It is not a de Polignac number, because 16456413321 - 25 = 16456413289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16456413329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3282865 + ... + 3287873.

It is an arithmetic number, because the mean of its divisors is an integer number (531949275).

Almost surely, 216456413321 is an apocalyptic number.

It is an amenable number.

16456413321 is a deficient number, since it is larger than the sum of its proper divisors (9077151879).

16456413321 is a wasteful number, since it uses less digits than its factorization.

16456413321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5338 (or 5335 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

Adding to 16456413321 its reverse (12331465461), we get a palindrome (28787878782).

The spelling of 16456413321 in words is "sixteen billion, four hundred fifty-six million, four hundred thirteen thousand, three hundred twenty-one".

Divisors: 1 3 9 17 51 109 153 197 327 591 981 1773 1853 3349 5009 5559 10047 15027 16677 21473 30141 45081 64419 85153 193257 255459 365041 545981 766377 986773 1095123 1637943 2960319 3285369 4913829 8880957 9281677 16775141 27845031 50325423 83535093 107558257 150976269 322674771 968024313 1828490369 5485471107 16456413321