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18142473636 = 22347210692
BaseRepresentation
bin10000111001011000…
…000010110110100100
31201211101021011010000
4100321120002312210
5244123433124021
612200132101300
71211405324100
oct207130026644
951741234100
1018142473636
11776aa53a71
123623a64830
1319318c5801
14c41716900
15712b4cb26
hex439602da4

18142473636 has 135 divisors (see below), whose sum is σ = 55223016849. Its totient is φ = 5178714912.

The previous prime is 18142473617. The next prime is 18142473647. The reversal of 18142473636 is 63637424181.

The square root of 18142473636 is 134694.

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

18142473636 is a `hidden beast` number, since 1 + 8 + 1 + 4 + 2 + 4 + 7 + 3 + 636 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8483515236 + 9658958400 = 92106^2 + 98280^2 .

It is a junction number, because it is equal to n+sod(n) for n = 18142473591 and 18142473600.

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, 16970910 + ... + 16971978.

Almost surely, 218142473636 is an apocalyptic number.

18142473636 is the 134694-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18142473636

18142473636 is an abundant number, since it is smaller than the sum of its proper divisors (37080543213).

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

18142473636 is an equidigital number, since it uses as much as digits as its factorization.

18142473636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168 (or 1081 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 18142473636 in words is "eighteen billion, one hundred forty-two million, four hundred seventy-three thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1069 1134 1323 1764 2138 2268 2646 3207 3969 4276 5292 6414 7483 7938 9621 12828 14966 15876 19242 22449 28863 29932 38484 44898 52381 57726 67347 86589 89796 104762 115452 134694 157143 173178 202041 209524 269388 314286 346356 404082 471429 606123 628572 808164 942858 1142761 1212246 1414287 1885716 2285522 2424492 2828574 3428283 4242861 4571044 5657148 6856566 7999327 8485722 10284849 13713132 15998654 16971444 20569698 23997981 30854547 31997308 41139396 47995962 55995289 61709094 71993943 92563641 95991924 111990578 123418188 143987886 167985867 185127282 215981829 223981156 287975772 335971734 370254564 431963658 503957601 647945487 671943468 863927316 1007915202 1295890974 1511872803 2015830404 2591781948 3023745606 4535618409 6047491212 9071236818 18142473636