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16315145217 = 3273161136949
BaseRepresentation
bin11110011000111010…
…10101110000000001
31120010000211020202200
433030131111300001
5231403134121332
611254534103413
71115206306020
oct171435256001
946100736680
1016315145217
116a12524098
1231b3aaab69
1317001577a7
14b0ab688b7
156574e717c
hex3cc755c01

16315145217 has 48 divisors (see below), whose sum is σ = 28257715200. Its totient is φ = 8874230400.

The previous prime is 16315145173. The next prime is 16315145219. The reversal of 16315145217 is 71254151361.

16315145217 is a `hidden beast` number, since 1 + 631 + 5 + 1 + 4 + 5 + 2 + 17 = 666.

It is not a de Polignac number, because 16315145217 - 214 = 16315128833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16315145219) 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, 50659 + ... + 187607.

It is an arithmetic number, because the mean of its divisors is an integer number (588702400).

Almost surely, 216315145217 is an apocalyptic number.

It is an amenable number.

16315145217 is a deficient number, since it is larger than the sum of its proper divisors (11942569983).

16315145217 is a wasteful number, since it uses less digits than its factorization.

16315145217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137054 (or 137051 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

Adding to 16315145217 its reverse (71254151361), we get a palindrome (87569296578).

The spelling of 16315145217 in words is "sixteen billion, three hundred fifteen million, one hundred forty-five thousand, two hundred seventeen".

Divisors: 1 3 7 9 21 31 61 63 93 183 217 279 427 549 651 1281 1891 1953 3843 5673 13237 17019 39711 119133 136949 410847 958643 1232541 2875929 4245419 8353889 8627787 12736257 25061667 29717933 38208771 58477223 75185001 89153799 175431669 258970559 267461397 526295007 776911677 1812793913 2330735031 5438381739 16315145217