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12039790093344 = 2532138338744047
BaseRepresentation
bin1010111100110011101101…
…1010010110010000100000
31120121222210200011021111100
42233030323122112100200
53034224442230441334
641335000405514400
72351563136145366
oct257147332262040
946558720137440
1012039790093344
1139220566a3972
121425485412a00
13694469129910
142d8a2c349636
1515d2b1292c99
hexaf33b696420

12039790093344 has 144 divisors (see below), whose sum is σ = 37316097366912. Its totient is φ = 3659917561344.

The previous prime is 12039790093337. The next prime is 12039790093369. The reversal of 12039790093344 is 44339009793021.

It is a happy number.

12039790093344 is a `hidden beast` number, since 1 + 203 + 9 + 7 + 9 + 0 + 0 + 93 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×120397900933443 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19061272 + ... + 19682775.

It is an arithmetic number, because the mean of its divisors is an integer number (259139565048).

Almost surely, 212039790093344 is an apocalyptic number.

It is an amenable number.

12039790093344 is an abundant number, since it is smaller than the sum of its proper divisors (25276307273568).

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

12039790093344 is a wasteful number, since it uses less digits than its factorization.

12039790093344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38744159 (or 38744148 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 12039790093344 in words is "twelve trillion, thirty-nine billion, seven hundred ninety million, ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 83 96 104 117 144 156 166 208 234 249 288 312 332 416 468 498 624 664 747 936 996 1079 1248 1328 1494 1872 1992 2158 2656 2988 3237 3744 3984 4316 5976 6474 7968 8632 9711 11952 12948 17264 19422 23904 25896 34528 38844 51792 77688 103584 155376 310752 38744047 77488094 116232141 154976188 232464282 309952376 348696423 464928564 503672611 619904752 697392846 929857128 1007345222 1239809504 1394785692 1511017833 1859714256 2014690444 2789571384 3022035666 3215755901 3719428512 4029380888 4533053499 5579142768 6044071332 6431511802 8058761776 9066106998 9647267703 11158285536 12088142664 12863023604 16117523552 18132213996 19294535406 24176285328 25726047208 28941803109 36264427992 38589070812 41804826713 48352570656 51452094416 57883606218 72528855984 77178141624 83609653426 102904188832 115767212436 125414480139 145057711968 154356283248 167219306852 231534424872 250828960278 308712566496 334438613704 376243440417 463068849744 501657920556 668877227408 752486880834 926137699488 1003315841112 1337754454816 1504973761668 2006631682224 3009947523336 4013263364448 6019895046672 12039790093344