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26894999424 = 273389401449
BaseRepresentation
bin11001000011000100…
…010001111110000000
32120102100200112022210
4121003010101332000
5420040104440144
620204433102120
71641324503016
oct310304217600
976370615283
1026894999424
1110451587157
1252670b7940
1326c8008c57
141431d0c8b6
15a76243ab9
hex643111f80

26894999424 has 128 divisors (see below), whose sum is σ = 71962020000. Its totient is φ = 8899788800.

The previous prime is 26894999399. The next prime is 26894999431. The reversal of 26894999424 is 42499949862.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59899552 + ... + 59900000.

Almost surely, 226894999424 is an apocalyptic number.

26894999424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26894999424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35981010000).

26894999424 is an abundant number, since it is smaller than the sum of its proper divisors (45067020576).

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

26894999424 is a wasteful number, since it uses less digits than its factorization.

26894999424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1244 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 66.

The spelling of 26894999424 in words is "twenty-six billion, eight hundred ninety-four million, nine hundred ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 389 401 449 778 802 898 1167 1203 1347 1556 1604 1796 2334 2406 2694 3112 3208 3592 4668 4812 5388 6224 6416 7184 9336 9624 10776 12448 12832 14368 18672 19248 21552 24896 25664 28736 37344 38496 43104 49792 51328 57472 74688 76992 86208 149376 153984 155989 172416 174661 180049 311978 349322 360098 467967 523983 540147 623956 698644 720196 935934 1047966 1080294 1247912 1397288 1440392 1871868 2095932 2160588 2495824 2794576 2880784 3743736 4191864 4321176 4991648 5589152 5761568 7487472 8383728 8642352 9983296 11178304 11523136 14974944 16767456 17284704 19966592 22356608 23046272 29949888 33534912 34569408 59899776 67069824 69138816 70039061 140078122 210117183 280156244 420234366 560312488 840468732 1120624976 1680937464 2241249952 3361874928 4482499904 6723749856 8964999808 13447499712 26894999424