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16506145257 = 3717401115301
BaseRepresentation
bin11110101111101011…
…11100100111101001
31120121100020001120020
433113311330213221
5232301033122012
611325515551053
71123015630320
oct172765744751
946540201506
1016506145257
11700031a268
123247a5b489
1317308b0474
14b282870b7
15669174a8c
hex3d7d7c9e9

16506145257 has 32 divisors (see below), whose sum is σ = 26698408704. Its totient is φ = 8855040000.

The previous prime is 16506145237. The next prime is 16506145277. The reversal of 16506145257 is 75254160561.

It is an interprime number because it is at equal distance from previous prime (16506145237) and next prime (16506145277).

It is not a de Polignac number, because 16506145257 - 27 = 16506145129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16506145237) 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, 85507 + ... + 200807.

It is an arithmetic number, because the mean of its divisors is an integer number (834325272).

Almost surely, 216506145257 is an apocalyptic number.

16506145257 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

16506145257 is a deficient number, since it is larger than the sum of its proper divisors (10192263447).

16506145257 is a wasteful number, since it uses less digits than its factorization.

16506145257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115729.

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 16506145257 in words is "sixteen billion, five hundred six million, one hundred forty-five thousand, two hundred fifty-seven".

Divisors: 1 3 7 17 21 51 119 357 401 1203 2807 6817 8421 20451 47719 115301 143157 345903 807107 1960117 2421321 5880351 13720819 41162457 46235701 138707103 323649907 786006917 970949721 2358020751 5502048419 16506145257