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9912743412 = 223111323251159
BaseRepresentation
bin10010011101101100…
…00111010111110100
3221120211120112120220
421032312013113310
5130300130242122
64315344254340
7500434633365
oct111666072764
927524515526
109912743412
114227537930
121b079113b0
13c1c8b9160
146a072bb6c
153d03c425c
hex24ed875f4

9912743412 has 96 divisors (see below), whose sum is σ = 28354959360. Its totient is φ = 2652228480.

The previous prime is 9912743411. The next prime is 9912743413. The reversal of 9912743412 is 2143472199.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9912743411) and next prime (9912743413).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9912743411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86112 + ... + 165047.

It is an arithmetic number, because the mean of its divisors is an integer number (295364160).

Almost surely, 29912743412 is an apocalyptic number.

9912743412 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

9912743412 is an abundant number, since it is smaller than the sum of its proper divisors (18442215948).

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

9912743412 is a wasteful number, since it uses less digits than its factorization.

9912743412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251213 (or 251211 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 9912743412 is about 99562.7611710322. The cubic root of 9912743412 is about 2148.1500879975.

The spelling of 9912743412 in words is "nine billion, nine hundred twelve million, seven hundred forty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 13 22 23 26 33 39 44 46 52 66 69 78 92 132 138 143 156 253 276 286 299 429 506 572 598 759 858 897 1012 1196 1518 1716 1794 3036 3289 3588 6578 9867 13156 19734 39468 251159 502318 753477 1004636 1506954 2762749 3013908 3265067 5525498 5776657 6530134 8288247 9795201 11050996 11553314 13060268 16576494 17329971 19590402 23106628 33152988 34659942 35915737 39180804 63543227 69319884 71831474 75096541 107747211 127086454 143662948 150193082 190629681 215494422 225289623 254172908 300386164 381259362 430988844 450579246 762518724 826061951 901158492 1652123902 2478185853 3304247804 4956371706 9912743412