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12418557312 = 27377958481
BaseRepresentation
bin10111001000011010…
…00010010110000000
31012001110201002001010
423210031002112000
5200413122313222
65412140440520
7616512665310
oct134415022600
935043632033
1012418557312
1152a2a51a07
1224a6b49140
13122baa2985
1485b453440
154ca39c80c
hex2e4342580

12418557312 has 128 divisors (see below), whose sum is σ = 38177049600. Its totient is φ = 3503185920.

The previous prime is 12418557311. The next prime is 12418557317. The reversal of 12418557312 is 21375581421.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×124185573122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12418557311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183112 + ... + 241592.

It is an arithmetic number, because the mean of its divisors is an integer number (298258200).

Almost surely, 212418557312 is an apocalyptic number.

12418557312 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 12418557312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19088524800).

12418557312 is an abundant number, since it is smaller than the sum of its proper divisors (25758492288).

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

12418557312 is an equidigital number, since it uses as much as digits as its factorization.

12418557312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58584 (or 58572 counting only the distinct ones).

The product of its digits is 67200, while the sum is 39.

The spelling of 12418557312 in words is "twelve billion, four hundred eighteen million, five hundred fifty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 128 158 168 192 224 237 316 336 384 448 474 553 632 672 896 948 1106 1264 1344 1659 1896 2212 2528 2688 3318 3792 4424 5056 6636 7584 8848 10112 13272 15168 17696 26544 30336 35392 53088 58481 70784 106176 116962 175443 212352 233924 350886 409367 467848 701772 818734 935696 1228101 1403544 1637468 1871392 2456202 2807088 3274936 3742784 4619999 4912404 5614176 6549872 7485568 9239998 9824808 11228352 13099744 13859997 18479996 19649616 22456704 26199488 27719994 32339993 36959992 39299232 52398976 55439988 64679986 73919984 78598464 97019979 110879976 129359972 147839968 157196928 194039958 221759952 258719944 295679936 388079916 443519904 517439888 591359872 776159832 887039808 1034879776 1552319664 1774079616 2069759552 3104639328 4139519104 6209278656 12418557312