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27493349352 = 2337377360589
BaseRepresentation
bin11001100110101110…
…110011011111101000
32121222001120212010020
4121212232303133220
5422301244134402
620344045520440
71662211420320
oct314656633750
977861525106
1027493349352
1110729308327
1253b3573120
132791c77771
14148b586280
15aada378bc
hex666bb37e8

27493349352 has 128 divisors (see below), whose sum is σ = 81781958400. Its totient is φ = 7538116608.

The previous prime is 27493349287. The next prime is 27493349357. The reversal of 27493349352 is 25394339472.

It is a super-2 number, since 2×274933493522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27493349295 and 27493349304.

It is not an unprimeable number, because it can be changed into a prime (27493349357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423474 + ... + 484062.

It is an arithmetic number, because the mean of its divisors is an integer number (638921550).

Almost surely, 227493349352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27493349352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40890979200).

27493349352 is an abundant number, since it is smaller than the sum of its proper divisors (54288609048).

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

27493349352 is a wasteful number, since it uses less digits than its factorization.

27493349352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60715 (or 60711 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 51.

The spelling of 27493349352 in words is "twenty-seven billion, four hundred ninety-three million, three hundred forty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 73 74 84 111 146 148 168 219 222 259 292 296 438 444 511 518 584 777 876 888 1022 1036 1533 1554 1752 2044 2072 2701 3066 3108 4088 5402 6132 6216 8103 10804 12264 16206 18907 21608 32412 37814 56721 60589 64824 75628 113442 121178 151256 181767 226884 242356 363534 424123 453768 484712 727068 848246 1272369 1454136 1696492 2241793 2544738 3392984 4422997 4483586 5089476 6725379 8845994 8967172 10178952 13268991 13450758 15692551 17691988 17934344 26537982 26901516 30960979 31385102 35383976 47077653 53075964 53803032 61921958 62770204 92882937 94155306 106151928 123843916 125540408 163650889 185765874 188310612 247687832 327301778 371531748 376621224 490952667 654603556 743063496 981905334 1145556223 1309207112 1963810668 2291112446 3436668669 3927621336 4582224892 6873337338 9164449784 13746674676 27493349352