Search a number
-
+
180434196409779 = 3313374327514033
BaseRepresentation
bin101001000001101010011100…
…001011101010110110110011
3212122212100012101022112022000
4221001222130023222312303
5142122213213240103104
61435430154151145043
753001640410001404
oct5101523413526663
9778770171275260
10180434196409779
1152545792a664a4
12182a1433375183
13798ab441cb0a0
14327b0c14539ab
1515cd792d4b639
hexa41a9c2eadb3

180434196409779 has 96 divisors (see below), whose sum is σ = 302688132183360. Its totient is φ = 105522977774592.

The previous prime is 180434196409777. The next prime is 180434196409799. The reversal of 180434196409779 is 977904691434081.

180434196409779 is a `hidden beast` number, since 1 + 8 + 0 + 4 + 341 + 96 + 40 + 97 + 79 = 666.

180434196409779 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 180434196409779 - 21 = 180434196409777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (180434196409777) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20255947 + ... + 27769979.

It is an arithmetic number, because the mean of its divisors is an integer number (3153001376910).

Almost surely, 2180434196409779 is an apocalyptic number.

180434196409779 is a deficient number, since it is larger than the sum of its proper divisors (122253935773581).

180434196409779 is a wasteful number, since it uses less digits than its factorization.

180434196409779 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7514178 (or 7514129 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 180434196409779 in words is "one hundred eighty trillion, four hundred thirty-four billion, one hundred ninety-six million, four hundred nine thousand, seven hundred seventy-nine".

Divisors: 1 3 9 13 27 37 39 43 111 117 129 333 351 387 481 559 999 1161 1443 1591 1677 1849 4329 4773 5031 5547 12987 14319 15093 16641 20683 24037 42957 49923 62049 68413 72111 186147 205239 216333 558441 615717 648999 889369 1847151 2668107 7514033 8004321 22542099 24012963 67626297 97682429 202878891 278019221 293047287 323103419 834057663 879141861 969310257 2502172989 2637425583 2907930771 3614249873 4200344447 7506518967 8723792313 10842749619 11954826503 12601033341 13893447017 32528248857 35864479509 37803100023 41680341051 97584746571 107593438527 113409300069 125041023153 155412744539 180614811221 322780315581 375123069459 466238233617 514057539629 541844433663 1398714700851 1542172618887 1625533300989 4196144102553 4626517856661 4876599902967 6682748015177 13879553569983 20048244045531 60144732136593 180434196409779