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14640000498 = 232194792
BaseRepresentation
bin11011010001001110…
…01010110111110010
31101210021202002012200
431220213022313302
5214440320003443
610420414004030
71025535644124
oct155047126762
941707662180
1014640000498
116232998072
122a06aa6616
1314c40a15b6
149cc4b3214
155aa402dd3
hex3689cadf2

14640000498 has 90 divisors (see below), whose sum is σ = 33911400159. Its totient is φ = 4564637064.

The previous prime is 14640000469. The next prime is 14640000523. The reversal of 14640000498 is 89400004641.

It is a happy number.

14640000498 is a `hidden beast` number, since 1 + 4 + 640 + 0 + 0 + 0 + 4 + 9 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7320000249 + 7320000249 = 85557^2 + 85557^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=85557.

It is a super-2 number, since 2×146400004982 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 185316423 + ... + 185316501.

Almost surely, 214640000498 is an apocalyptic number.

14640000498 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14640000498

14640000498 is an abundant number, since it is smaller than the sum of its proper divisors (19271399661).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14640000498 is an frugal number, since it uses more digits than its factorization.

14640000498 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 14640000498 in words is "fourteen billion, six hundred forty million, four hundred ninety-eight", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 19 38 57 79 114 158 171 237 342 361 474 711 722 1083 1422 1501 2166 3002 3249 4503 6241 6498 6859 9006 12482 13509 13718 18723 20577 27018 28519 37446 41154 56169 57038 61731 85557 112338 118579 123462 130321 171114 237158 256671 260642 355737 390963 513342 541861 711474 781926 1067211 1083722 1172889 1625583 2134422 2253001 2345778 3251166 4506002 4876749 6759003 9753498 10295359 13518006 20277009 20590718 30886077 40554018 42807019 61772154 85614038 92658231 128421057 185316462 256842114 385263171 770526342 813333361 1626666722 2440000083 4880000166 7320000249 14640000498