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12133463104 = 26742812
BaseRepresentation
bin10110100110011010…
…11111010001000000
31011022121020210022101
423103031133101000
5144322131304404
65323554120144
7606451510000
oct132315372100
934277223271
1012133463104
115167029464
122427580054
1311b49c3689
14831640000
154b03352a4
hex2d335f440

12133463104 has 105 divisors (see below), whose sum is σ = 28188874661. Its totient is φ = 5181550080.

The previous prime is 12133463101. The next prime is 12133463119. The reversal of 12133463104 is 40136433121.

The square root of 12133463104 is 110152.

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

It can be written as a sum of positive squares in only one way, i.e., 8199664704 + 3933798400 = 90552^2 + 62720^2 .

It is a super-2 number, since 2×121334631042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12133463101) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 43179444 + ... + 43179724.

Almost surely, 212133463104 is an apocalyptic number.

12133463104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12133463104 is the 110152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12133463104

12133463104 is an abundant number, since it is smaller than the sum of its proper divisors (16055411557).

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

12133463104 is an frugal number, since it uses more digits than its factorization.

12133463104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Multiplying 12133463104 by its product of nonzero digits (5184), we get a square (62899872731136 = 79309442).

Adding to 12133463104 its reverse (40136433121), we get a palindrome (52269896225).

The spelling of 12133463104 in words is "twelve billion, one hundred thirty-three million, four hundred sixty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 281 343 392 448 562 686 784 1124 1372 1568 1967 2248 2401 2744 3136 3934 4496 4802 5488 7868 8992 9604 10976 13769 15736 17984 19208 21952 27538 31472 38416 55076 62944 76832 78961 96383 110152 125888 153664 157922 192766 220304 315844 385532 440608 552727 631688 674681 771064 881216 1105454 1263376 1349362 1542128 2210908 2526752 2698724 3084256 3869089 4421816 5053504 5397448 6168512 7738178 8843632 10794896 15476356 17687264 21589792 27083623 30952712 35374528 43179584 54167246 61905424 108334492 123810848 189585361 216668984 247621696 379170722 433337968 758341444 866675936 1516682888 1733351872 3033365776 6066731552 12133463104