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16419603321 = 321143532
BaseRepresentation
bin11110100101010111…
…10100001101111001
31120101022101021100100
433102223310031321
5232111404301241
611313145030013
71120615216422
oct172253641571
946338337310
1016419603321
116a66490000
123222a85309
13171899c514
14b1a99a649
1566177c9b6
hex3d2af4379

16419603321 has 45 divisors (see below), whose sum is σ = 26162878495. Its totient is φ = 9923084160.

The previous prime is 16419603311. The next prime is 16419603337. The reversal of 16419603321 is 12330691461.

The square root of 16419603321 is 128139.

It is a perfect power (a square), and thus also a powerful number.

16419603321 is a `hidden beast` number, since 1 + 6 + 4 + 19 + 603 + 32 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6670805625 + 9748797696 = 81675^2 + 98736^2 .

It is a de Polignac number, because none of the positive numbers 2k-16419603321 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16419603301) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 46514281 + ... + 46514633.

Almost surely, 216419603321 is an apocalyptic number.

16419603321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

16419603321 is the 128139-th square number.

16419603321 is the 64070-th centered octagonal number.

It is an amenable number.

16419603321 is a deficient number, since it is larger than the sum of its proper divisors (9743275174).

16419603321 is an frugal number, since it uses more digits than its factorization.

16419603321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Multiplying 16419603321 by its sum of digits (36), we get a square (591105719556 = 7688342).

The spelling of 16419603321 in words is "sixteen billion, four hundred nineteen million, six hundred three thousand, three hundred twenty-one".

Divisors: 1 3 9 11 33 99 121 353 363 1059 1089 1331 3177 3883 3993 11649 11979 14641 34947 42713 43923 124609 128139 131769 373827 384417 469843 1121481 1370699 1409529 4112097 4228587 5168273 12336291 15077689 15504819 45233067 46514457 135699201 165854579 497563737 1492691211 1824400369 5473201107 16419603321