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12042455654450 = 25213215115236197
BaseRepresentation
bin1010111100111101101001…
…0010101010000000110010
31120122020200102212210220202
42233033122102222000302
53034300422121420300
641340121110035202
72352016164064514
oct257173222520062
946566612783822
1012042455654450
1139231a42a8431
121425aaa048b02
136947a2445b00
142d8c02375bb4
1515d3ba2c3ad5
hexaf3da4aa032

12042455654450 has 144 divisors (see below), whose sum is σ = 24435102499776. Its totient is φ = 4413386016000.

The previous prime is 12042455654429. The next prime is 12042455654497. The reversal of 12042455654450 is 5445655424021.

It is a junction number, because it is equal to n+sod(n) for n = 12042455654395 and 12042455654404.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1943268752 + ... + 1943274948.

It is an arithmetic number, because the mean of its divisors is an integer number (169688211804).

Almost surely, 212042455654450 is an apocalyptic number.

12042455654450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12042455654450 is an abundant number, since it is smaller than the sum of its proper divisors (12392646845326).

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

12042455654450 is a wasteful number, since it uses less digits than its factorization.

12042455654450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7909 (or 7891 counting only the distinct ones).

The product of its (nonzero) digits is 3840000, while the sum is 47.

The spelling of 12042455654450 in words is "twelve trillion, forty-two billion, four hundred fifty-five million, six hundred fifty-four thousand, four hundred fifty".

Divisors: 1 2 5 10 13 25 26 50 65 130 151 169 302 325 338 650 755 845 1510 1523 1690 1963 3046 3775 3926 4225 6197 7550 7615 8450 9815 12394 15230 19630 19799 25519 30985 38075 39598 49075 51038 61970 76150 80561 98150 98995 127595 154925 161122 197990 229973 255190 257387 309850 402805 459946 494975 514774 637975 805610 935747 989950 1047293 1149865 1275950 1286935 1871494 2014025 2094586 2299730 2573870 2989649 4028050 4678735 5236465 5749325 5979298 6434675 9357470 9438031 10472930 11498650 12164711 12869350 14948245 18876062 23393675 24329422 26182325 29896490 38865437 46787350 47190155 52364650 60823555 74741225 77730874 94380310 121647110 122694403 149482450 158141243 194327185 235950775 245388806 304117775 316282486 388654370 471901550 608235550 613472015 790706215 971635925 1226944030 1425142681 1581412430 1595027239 1943271850 2850285362 3067360075 3190054478 3953531075 6134720150 7125713405 7907062150 7975136195 14251426810 15950272390 18526854853 35628567025 37053709706 39875680975 71257134050 79751361950 92634274265 185268548530 240849113089 463171371325 481698226178 926342742650 1204245565445 2408491130890 6021227827225 12042455654450