Search a number
-
+
30564915663060 = 223251977311561591
BaseRepresentation
bin1101111001100011100101…
…11100001101000011010100
311000012222101112011211111200
412330301302330031003110
513001233421402204220
6145001154534232500
76303146050322502
oct674616274150324
9130188345154450
1030564915663060
11981456507aa69
1235178284b5730
13140934a55766c
147794c7c4d672
153800e49a7890
hex1bcc72f0d0d4

30564915663060 has 144 divisors (see below), whose sum is σ = 97719500511360. Its totient is φ = 7711673022720.

The previous prime is 30564915663043. The next prime is 30564915663067. The reversal of 30564915663060 is 6036651946503.

It is a happy number.

30564915663060 is a `hidden beast` number, since 3 + 0 + 5 + 6 + 49 + 1 + 566 + 30 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30564915662988 and 30564915663006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30564915663067) 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 47 ways as a sum of consecutive naturals, for example, 3137136 + ... + 8424455.

It is an arithmetic number, because the mean of its divisors is an integer number (678607642440).

Almost surely, 230564915663060 is an apocalyptic number.

30564915663060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30564915663060 is an abundant number, since it is smaller than the sum of its proper divisors (67154584848300).

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

30564915663060 is a wasteful number, since it uses less digits than its factorization.

30564915663060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11562398 (or 11562393 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 30564915663060 in words is "thirty trillion, five hundred sixty-four billion, nine hundred fifteen million, six hundred sixty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 773 855 1140 1546 1710 2319 3092 3420 3865 4638 6957 7730 9276 11595 13914 14687 15460 23190 27828 29374 34785 44061 46380 58748 69570 73435 88122 132183 139140 146870 176244 220305 264366 293740 440610 528732 660915 881220 1321830 2643660 11561591 23123182 34684773 46246364 57807955 69369546 104054319 115615910 138739092 173423865 208108638 219670229 231231820 346847730 416217276 439340458 520271595 659010687 693695460 878680916 1040543190 1098351145 1318021374 1977032061 2081086380 2196702290 2636042748 3295053435 3954064122 4393404580 6590106870 7908128244 8937109843 9885160305 13180213740 17874219686 19770320610 26811329529 35748439372 39540641220 44685549215 53622659058 80433988587 89371098430 107245318116 134056647645 160867977174 169805087017 178742196860 268113295290 321735954348 339610174034 402169942935 509415261051 536226590580 679220348068 804339885870 849025435085 1018830522102 1528245783153 1608679771740 1698050870170 2037661044204 2547076305255 3056491566306 3396101740340 5094152610510 6112983132612 7641228915765 10188305221020 15282457831530 30564915663060