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994515540516 = 223417232592
BaseRepresentation
bin11100111100011011011…
…11101101101000100100
310112002000111110000110000
432132031233231220210
5112243231434244031
62040512451301300
7131565010421151
oct16361557555044
93462014400400
10994515540516
11353854106353
121408b12aa830
1372a22c66544
14361c5cb7228
151ad0a0163e6
hexe78dbeda24

994515540516 has 135 divisors (see below), whose sum is σ = 2762636765889. Its totient is φ = 311909139072.

The previous prime is 994515540451. The next prime is 994515540517. The reversal of 994515540516 is 615045515499.

The square root of 994515540516 is 997254.

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

994515540516 is a `hidden beast` number, since 9 + 9 + 45 + 1 + 5 + 540 + 51 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 774276804900 + 220238735616 = 879930^2 + 469296^2 .

It is a super-2 number, since 2×9945155405162 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (994515540517) 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 44 ways as a sum of consecutive naturals, for example, 305158095 + ... + 305161353.

Almost surely, 2994515540516 is an apocalyptic number.

994515540516 is the 997254-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 994515540516

994515540516 is an abundant number, since it is smaller than the sum of its proper divisors (1768121225373).

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

994515540516 is an equidigital number, since it uses as much as digits as its factorization.

994515540516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6568 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 54.

The spelling of 994515540516 in words is "nine hundred ninety-four billion, five hundred fifteen million, five hundred forty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 289 306 324 459 578 612 867 918 1156 1377 1734 1836 2601 2754 3259 3468 5202 5508 6518 7803 9777 10404 13036 15606 19554 23409 29331 31212 39108 46818 55403 58662 87993 93636 110806 117324 166209 175986 221612 263979 332418 351972 498627 527958 664836 941851 997254 1055916 1495881 1883702 1994508 2825553 2991762 3767404 4487643 5651106 5983524 8476659 8975286 10621081 11302212 16953318 17950572 21242162 25429977 31863243 33906636 42484324 50859954 63726486 76289931 95589729 101719908 127452972 152579862 180558377 191179458 286769187 305159724 361116754 382358916 541675131 573538374 722233508 860307561 1083350262 1147076748 1625025393 1720615122 2166700524 3069492409 3250050786 3441230244 4875076179 6138984818 6500101572 9208477227 9750152358 12277969636 14625228537 18416954454 19500304716 27625431681 29250457074 36833908908 55250863362 58500914148 82876295043 110501726724 165752590086 248628885129 331505180172 497257770258 994515540516