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16312653841 = 1121726832
BaseRepresentation
bin11110011000100111…
…10101100000010001
31120002212010200020111
433030103311200101
5231402014410331
611254404441321
71115146161361
oct171423654021
946085120214
1016312653841
116a11082300
1231b30a9241
1316cc7947c3
14b0a6ba9a1
156571a3db1
hex3cc4f5811

16312653841 has 27 divisors (see below), whose sum is σ = 19075140763. Its totient is φ = 13936915520.

The previous prime is 16312653839. The next prime is 16312653857. The reversal of 16312653841 is 14835621361.

The square root of 16312653841 is 127721.

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

It can be written as a sum of positive squares in only one way, i.e., 12700163025 + 3612490816 = 112695^2 + 60104^2 .

It is not a de Polignac number, because 16312653841 - 21 = 16312653839 is a prime.

It is a super-2 number, since 2×163126538412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16312653794 and 16312653803.

It is not an unprimeable number, because it can be changed into a prime (16312653241) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23883486 + ... + 23884168.

Almost surely, 216312653841 is an apocalyptic number.

16312653841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

16312653841 is the 127721-st square number.

16312653841 is the 63861-st centered octagonal number.

It is an amenable number.

16312653841 is a deficient number, since it is larger than the sum of its proper divisors (2762486922).

16312653841 is an frugal number, since it uses more digits than its factorization.

16312653841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 711 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The spelling of 16312653841 in words is "sixteen billion, three hundred twelve million, six hundred fifty-three thousand, eight hundred forty-one".

Divisors: 1 11 17 121 187 289 683 2057 3179 7513 11611 34969 82643 127721 197387 466489 1404931 2171257 5131379 7930313 23883827 56445169 87233443 134815321 959567873 1482968531 16312653841