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12993607440 = 2433511546869
BaseRepresentation
bin11000001100111101…
…01011011100010000
31020112112202122112000
430012132223130100
5203102330414230
65545202034000
7636664561302
oct140636533420
936475678460
1012993607440
115568609650
122627648900
1312c0c74118
148b3983972
15510adcb60
hex3067ab710

12993607440 has 160 divisors (see below), whose sum is σ = 48824553600. Its totient is φ = 3149959680.

The previous prime is 12993607369. The next prime is 12993607447. The reversal of 12993607440 is 4470639921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12993607447) 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, 249675 + ... + 297194.

It is an arithmetic number, because the mean of its divisors is an integer number (305153460).

Almost surely, 212993607440 is an apocalyptic number.

12993607440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12993607440 is an abundant number, since it is smaller than the sum of its proper divisors (35830946160).

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

12993607440 is a wasteful number, since it uses less digits than its factorization.

12993607440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546902 (or 546890 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 12993607440 in words is "twelve billion, nine hundred ninety-three million, six hundred seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4752 5940 7920 11880 23760 546869 1093738 1640607 2187476 2734345 3281214 4374952 4921821 5468690 6015559 6562428 8203035 8749904 9843642 10937380 12031118 13124856 14765463 16406070 18046677 19687284 21874760 24062236 24609105 26249712 29530926 30077795 32812140 36093354 39374568 43749520 48124472 49218210 54140031 59061852 60155590 65624280 72186708 73827315 78749136 90233385 96248944 98436420 108280062 118123704 120311180 131248560 144373416 147654630 162420093 180466770 196872840 216560124 236247408 240622360 270700155 288746832 295309260 324840186 360933540 393745680 433120248 481244720 541400310 590618520 649680372 721867080 812100465 866240496 1082800620 1181237040 1299360744 1443734160 1624200930 2165601240 2598721488 3248401860 4331202480 6496803720 12993607440