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12353427128 = 2371789211691
BaseRepresentation
bin10111000000101001…
…00101011010111000
31011212221011010020002
423200110211122320
5200244434132003
65401452452132
7615062253350
oct134024453270
934787133202
1012353427128
11526a207709
12248917a048
13121b44a8c3
1485293bb60
154c47d4a88
hex2e05256b8

12353427128 has 128 divisors (see below), whose sum is σ = 28519257600. Its totient is φ = 4896460800.

The previous prime is 12353427127. The next prime is 12353427193. The reversal of 12353427128 is 82172435321.

It is a junction number, because it is equal to n+sod(n) for n = 12353427091 and 12353427100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12353427127) 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, 17877263 + ... + 17877953.

It is an arithmetic number, because the mean of its divisors is an integer number (222806700).

Almost surely, 212353427128 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 12353427128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14259628800).

12353427128 is an abundant number, since it is smaller than the sum of its proper divisors (16165830472).

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

12353427128 is a wasteful number, since it uses less digits than its factorization.

12353427128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1017 counting only the distinct ones).

The product of its digits is 80640, while the sum is 38.

The spelling of 12353427128 in words is "twelve billion, three hundred fifty-three million, four hundred twenty-seven thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 89 119 136 178 211 238 356 422 476 623 691 712 844 952 1246 1382 1477 1513 1688 2492 2764 2954 3026 3587 4837 4984 5528 5908 6052 7174 9674 10591 11747 11816 12104 14348 18779 19348 21182 23494 25109 28696 37558 38696 42364 46988 50218 61499 75116 82229 84728 93976 100436 122998 131453 145801 150232 164458 200872 245996 262906 291602 319243 328916 430493 491992 525812 583204 638486 657832 860986 1020607 1045483 1051624 1166408 1276972 1721972 2041214 2090966 2234701 2478617 2553944 3443944 4082428 4181932 4469402 4957234 7318381 8164856 8363864 8938804 9914468 12976289 14636762 17350319 17877608 19828936 25952578 29273524 34700638 51905156 58547048 69401276 90834023 103810312 138802552 181668046 220596913 363336092 441193826 726672184 882387652 1544178391 1764775304 3088356782 6176713564 12353427128