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31164827148 = 223271329328037
BaseRepresentation
bin11101000001100100…
…011000011000001100
32222102221010020211100
4131001210120120030
51002311143432043
622152242223100
72152202442240
oct350144303014
988387106740
1031164827148
11122428069a4
126059054a90
132c287c2c30
141719020420
15c26017cd3
hex74191860c

31164827148 has 144 divisors (see below), whose sum is σ = 100300898880. Its totient is φ = 7935846912.

The previous prime is 31164827143. The next prime is 31164827149. The reversal of 31164827148 is 84172846113.

31164827148 is a `hidden beast` number, since 311 + 64 + 8 + 271 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (31164827143) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 69015 + ... + 259022.

It is an arithmetic number, because the mean of its divisors is an integer number (696534020).

Almost surely, 231164827148 is an apocalyptic number.

It is an amenable number.

31164827148 is an abundant number, since it is smaller than the sum of its proper divisors (69136071732).

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

31164827148 is a wasteful number, since it uses less digits than its factorization.

31164827148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328096 (or 328091 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 31164827148 in words is "thirty-one billion, one hundred sixty-four million, eight hundred twenty-seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 29 36 39 42 52 58 63 78 84 87 91 116 117 126 156 174 182 203 234 252 261 273 348 364 377 406 468 522 546 609 754 812 819 1044 1092 1131 1218 1508 1638 1827 2262 2436 2639 3276 3393 3654 4524 5278 6786 7308 7917 10556 13572 15834 23751 31668 47502 95004 328037 656074 984111 1312148 1968222 2296259 2952333 3936444 4264481 4592518 5904666 6888777 8528962 9185036 9513073 11809332 12793443 13777554 17057924 19026146 20666331 25586886 27555108 28539219 29851367 38052292 38380329 41332662 51173772 57078438 59702734 66591511 76760658 82665324 85617657 89554101 114156876 119405468 123669949 133183022 153521316 171235314 179108202 199774533 247339898 266366044 268662303 342470628 358216404 371009847 399549066 494679796 537324606 599323599 742019694 799098132 865689643 1074649212 1113029541 1198647198 1484039388 1731379286 2226059082 2397294396 2597068929 3462758572 4452118164 5194137858 7791206787 10388275716 15582413574 31164827148