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12495298043424 = 253773325367249
BaseRepresentation
bin1011010111010100100111…
…0011010001111000100000
31122020112112210201200012010
42311311021303101320200
53114210332244342144
642324132150032520
72426520063634560
oct265651163217040
948215483650163
1012495298043424
113a88253aa2779
12149980a048740
136c83bc673121
14312ac0564da0
1516a070d715b9
hexb5d49cd1e20

12495298043424 has 96 divisors (see below), whose sum is σ = 37537035984000. Its totient is φ = 3565214502912.

The previous prime is 12495298043419. The next prime is 12495298043429. The reversal of 12495298043424 is 42434089259421.

It is an interprime number because it is at equal distance from previous prime (12495298043419) and next prime (12495298043429).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×124952980434243 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (12495298043429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12191049 + ... + 13176200.

It is an arithmetic number, because the mean of its divisors is an integer number (391010791500).

Almost surely, 212495298043424 is an apocalyptic number.

12495298043424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12495298043424 is an abundant number, since it is smaller than the sum of its proper divisors (25041737940576).

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

12495298043424 is a wasteful number, since it uses less digits than its factorization.

12495298043424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25368002 (or 25367994 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 57.

The spelling of 12495298043424 in words is "twelve trillion, four hundred ninety-five billion, two hundred ninety-eight million, forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 733 1466 2199 2932 4398 5131 5864 8796 10262 11728 15393 17592 20524 23456 30786 35184 41048 61572 70368 82096 123144 164192 246288 492576 25367249 50734498 76101747 101468996 152203494 177570743 202937992 304406988 355141486 405875984 532712229 608813976 710282972 811751968 1065424458 1217627952 1420565944 2130848916 2435255904 2841131888 4261697832 5682263776 8523395664 17046791328 18594193517 37188387034 55782580551 74376774068 111565161102 130159354619 148753548136 223130322204 260318709238 297507096272 390478063857 446260644408 520637418476 595014192544 780956127714 892521288816 1041274836952 1561912255428 1785042577632 2082549673904 3123824510856 4165099347808 6247649021712 12495298043424