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1918965636 = 2232741492
BaseRepresentation
bin111001001100001…
…0001011110000100
311221201212112222100
41302120101132010
512412223400021
6514230032100
765360640000
oct16230213604
94851775870
101918965636
118a522a315
124567a8630
13247744233
14142c03700
15b3707626
hex72611784

1918965636 has 135 divisors (see below), whose sum is σ = 5697068741. Its totient is φ = 544596192.

The previous prime is 1918965613. The next prime is 1918965649. The reversal of 1918965636 is 6365698191.

The square root of 1918965636 is 43806.

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., 224820036 + 1694145600 = 14994^2 + 41160^2 .

It is a super-2 number, since 2×19189656362 = 7364858224297768992, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12878890 + ... + 12879038.

Almost surely, 21918965636 is an apocalyptic number.

1918965636 is the 43806-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1918965636

1918965636 is an abundant number, since it is smaller than the sum of its proper divisors (3778103105).

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

1918965636 is an equidigital number, since it uses as much as digits as its factorization.

1918965636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 161 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The cubic root of 1918965636 is about 1242.6697671886.

The spelling of 1918965636 in words is "one billion, nine hundred eighteen million, nine hundred sixty-five thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 149 196 252 294 298 343 441 447 588 596 686 882 894 1029 1043 1341 1372 1764 1788 2058 2086 2401 2682 3087 3129 4116 4172 4802 5364 6174 6258 7203 7301 9387 9604 12348 12516 14406 14602 18774 21609 21903 22201 28812 29204 37548 43218 43806 44402 51107 65709 66603 86436 87612 88804 102214 131418 133206 153321 155407 199809 204428 262836 266412 306642 310814 357749 399618 459963 466221 613284 621628 715498 799236 919926 932442 1073247 1087849 1398663 1430996 1839852 1864884 2146494 2175698 2797326 3219741 3263547 4292988 4351396 5594652 6439482 6527094 7614943 9790641 12878964 13054188 15229886 19581282 22844829 30459772 39162564 45689658 53304601 68534487 91379316 106609202 137068974 159913803 213218404 274137948 319827606 479741409 639655212 959482818 1918965636