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43619993316 = 22344122832
BaseRepresentation
bin101000100111111101…
…000100011011100100
311011120221201020210000
4220213331010123210
51203313204241231
632012211501300
73102641553114
oct504775043344
9134527636700
1043619993316
1117554392659
1285542b7830
134162042a43
14217b283044
1512046e76e6
hexa27f446e4

43619993316 has 135 divisors (see below), whose sum is σ = 117294829113. Its totient is φ = 14135238720.

The previous prime is 43619993297. The next prime is 43619993353. The reversal of 43619993316 is 61339991634.

The square root of 43619993316 is 208854.

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

43619993316 is a `hidden beast` number, since 4 + 3 + 619 + 9 + 9 + 3 + 3 + 16 = 666.

43619993316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2101855716 + 41518137600 = 45846^2 + 203760^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 154134111 + ... + 154134393.

Almost surely, 243619993316 is an apocalyptic number.

43619993316 is the 208854-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43619993316

43619993316 is an abundant number, since it is smaller than the sum of its proper divisors (73674835797).

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

43619993316 is an equidigital number, since it uses as much as digits as its factorization.

43619993316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 329 counting only the distinct ones).

The product of its digits is 2834352, while the sum is 54.

The spelling of 43619993316 in words is "forty-three billion, six hundred nineteen million, nine hundred ninety-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 283 324 369 492 566 738 849 1107 1132 1476 1681 1698 2214 2547 3321 3362 3396 4428 5043 5094 6642 6724 7641 10086 10188 11603 13284 15129 15282 20172 22923 23206 30258 30564 34809 45387 45846 46412 60516 69618 80089 90774 91692 104427 136161 139236 160178 181548 208854 240267 272322 313281 320356 417708 475723 480534 544644 626562 720801 939843 951446 961068 1253124 1427169 1441602 1879686 1902892 2162403 2854338 2883204 3283649 3759372 4281507 4324806 5708676 6487209 6567298 8563014 8649612 9850947 12844521 12974418 13134596 17126028 19701894 25689042 25948836 29552841 38533563 39403788 51378084 59105682 77067126 88658523 118211364 134629609 154134252 177317046 265975569 269259218 354634092 403888827 531951138 538518436 807777654 1063902276 1211666481 1615555308 2423332962 3634999443 4846665924 7269998886 10904998329 14539997772 21809996658 43619993316