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18954430245 = 3351710397949
BaseRepresentation
bin10001101001110001…
…011010011100100101
31210220222002211012000
4101221301122130211
5302304313231440
612412455115513
71240464666402
oct215161323445
953828084160
1018954430245
118047310a93
12380b972b99
131a30ba39ca
14cbb4b52a9
1575e087730
hex469c5a725

18954430245 has 64 divisors (see below), whose sum is σ = 35717760000. Its totient is φ = 9504027648.

The previous prime is 18954430213. The next prime is 18954430277. The reversal of 18954430245 is 54203445981.

18954430245 is a `hidden beast` number, since 1 + 89 + 544 + 3 + 0 + 24 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (18954430213) and next prime (18954430277).

It is not a de Polignac number, because 18954430245 - 25 = 18954430213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 18954430245.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2380531 + ... + 2388479.

It is an arithmetic number, because the mean of its divisors is an integer number (558090000).

Almost surely, 218954430245 is an apocalyptic number.

18954430245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18954430245 is a deficient number, since it is larger than the sum of its proper divisors (16763329755).

18954430245 is a wasteful number, since it uses less digits than its factorization.

18954430245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9019 (or 9013 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 18954430245 in words is "eighteen billion, nine hundred fifty-four million, four hundred thirty thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 17 27 45 51 85 135 153 255 459 765 1039 2295 3117 5195 7949 9351 15585 17663 23847 28053 39745 46755 52989 71541 88315 119235 135133 140265 158967 214623 264945 357705 405399 476901 675665 794835 1073115 1216197 2026995 2384505 3648591 6080985 8259011 18242955 24777033 41295055 74331099 123885165 140403187 222993297 371655495 421209561 702015935 1114966485 1263628683 2106047805 3790886049 6318143415 18954430245