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18484367429025 = 3652318472
BaseRepresentation
bin1000011001111101110100…
…01001111000110110100001
32102110002101100101111000000
410030332322021320312201
54410321441030212100
6103151333504050213
73615310566520431
oct414767211706641
972402340344000
1018484367429025
1159871a3588803
1220a6489303969
13a410b7290544
1447c9107862c1
15220c4a3c3900
hex10cfba278da1

18484367429025 has 63 divisors (see below), whose sum is σ = 34366281936931. Its totient is φ = 9858019742640.

The previous prime is 18484367428979. The next prime is 18484367429039. The reversal of 18484367429025 is 52092476348481.

The square root of 18484367429025 is 4299345.

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

18484367429025 is a `hidden beast` number, since 1 + 8 + 48 + 436 + 74 + 2 + 90 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6654372274449 + 11829995154576 = 2579607^2 + 3439476^2 .

It is not a de Polignac number, because 18484367429025 - 213 = 18484367420833 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 580395652 + ... + 580427498.

It is a 1-persistent number, because it is pandigital, but 2⋅18484367429025 = 36968734858050 is not.

Almost surely, 218484367429025 is an apocalyptic number.

18484367429025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

18484367429025 is the 4299345-th square number.

18484367429025 is the 2149673-rd centered octagonal number.

It is an amenable number.

18484367429025 is a deficient number, since it is larger than the sum of its proper divisors (15881914507906).

18484367429025 is an frugal number, since it uses more digits than its factorization.

18484367429025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63722 (or 31855 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 18484367429025 in words is "eighteen trillion, four hundred eighty-four billion, three hundred sixty-seven million, four hundred twenty-nine thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 729 1215 2025 3645 6075 18225 31847 95541 159235 286623 477705 796175 859869 1433115 2388525 2579607 4299345 7165575 7738821 12898035 21496725 23216463 38694105 64490175 116082315 193470525 580411575 1014231409 3042694227 5071157045 9128082681 15213471135 25355785225 27384248043 45640413405 76067355675 82152744129 136921240215 228202067025 246458232387 410763720645 684606201075 739374697161 1232291161935 2053818603225 3696873485805 6161455809675 18484367429025