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18071131572 = 223213192970079
BaseRepresentation
bin10000110101000111…
…111001010110110100
31201122102000121012100
4100311013321112310
5244002202202242
612145103022100
71206551040534
oct206507712664
951572017170
1018071131572
11773375668a
123603b9a930
13191cba7180
14c360654c4
1570b75954c
hex4351f95b4

18071131572 has 144 divisors (see below), whose sum is σ = 53569152000. Its totient is φ = 5085980928.

The previous prime is 18071131549. The next prime is 18071131577. The reversal of 18071131572 is 27513117081.

18071131572 is a `hidden beast` number, since 1 + 8 + 0 + 71 + 13 + 1 + 572 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18071131577) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222829 + ... + 292907.

It is an arithmetic number, because the mean of its divisors is an integer number (372008000).

Almost surely, 218071131572 is an apocalyptic number.

18071131572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18071131572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26784576000).

18071131572 is an abundant number, since it is smaller than the sum of its proper divisors (35498020428).

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

18071131572 is a wasteful number, since it uses less digits than its factorization.

18071131572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70150 (or 70145 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The spelling of 18071131572 in words is "eighteen billion, seventy-one million, one hundred thirty-one thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 29 36 38 39 52 57 58 76 78 87 114 116 117 156 171 174 228 234 247 261 342 348 377 468 494 522 551 684 741 754 988 1044 1102 1131 1482 1508 1653 2204 2223 2262 2964 3306 3393 4446 4524 4959 6612 6786 7163 8892 9918 13572 14326 19836 21489 28652 42978 64467 70079 85956 128934 140158 210237 257868 280316 420474 630711 840948 911027 1261422 1331501 1822054 2032291 2522844 2663002 2733081 3644108 3994503 4064582 5326004 5466162 6096873 7989006 8129164 8199243 10932324 11983509 12193746 15978012 16398486 17309513 18290619 23967018 24387492 26419783 32796972 34619026 36581238 38613529 47934036 51928539 52839566 69238052 73162476 77227058 79259349 103857078 105679132 115840587 154454116 155785617 158518698 207714156 231681174 237778047 311571234 317037396 347521761 463362348 475556094 501975877 623142468 695043522 951112188 1003951754 1390087044 1505927631 2007903508 3011855262 4517782893 6023710524 9035565786 18071131572