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78444300231825 = 352111911237402443
BaseRepresentation
bin10001110101100000111100…
…101001100110010010010001
3101021202012110011021111020120
4101311200330221212102101
540240212411324404300
6434500451455300453
722344261613224153
oct2165407451462221
9337665404244216
1078444300231825
1122aa404a4955a0
12896b04551a729
1334a035bb8c608
141552a1da1cad3
159107b26193a0
hex47583ca66491

78444300231825 has 96 divisors (see below), whose sum is σ = 142341081587712. Its totient is φ = 37803791712000.

The previous prime is 78444300231811. The next prime is 78444300231839. The reversal of 78444300231825 is 52813200344487.

It is an interprime number because it is at equal distance from previous prime (78444300231811) and next prime (78444300231839).

It is not a de Polignac number, because 78444300231825 - 25 = 78444300231793 is a prime.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 194719054 + ... + 195121496.

It is an arithmetic number, because the mean of its divisors is an integer number (1482719599872).

Almost surely, 278444300231825 is an apocalyptic number.

78444300231825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

78444300231825 is a deficient number, since it is larger than the sum of its proper divisors (63896781355887).

78444300231825 is a wasteful number, since it uses less digits than its factorization.

78444300231825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403895 (or 403890 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 51.

The spelling of 78444300231825 in words is "seventy-eight trillion, four hundred forty-four billion, three hundred million, two hundred thirty-one thousand, eight hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 191 275 573 825 955 1237 2101 2865 3711 4775 6185 6303 10505 13607 14325 18555 30925 31515 40821 52525 68035 92775 157575 204105 236267 340175 402443 708801 1020525 1181335 1207329 2012215 2598937 3544005 4426873 5906675 6036645 7796811 10061075 12994685 13280619 17720025 22134365 30183225 38984055 64973425 66403095 76866613 110671825 194920275 230599839 332015475 384333065 497821991 845532743 1152999195 1493465973 1921665325 2489109955 2536598229 4227663715 5476041901 5764995975 7467329865 12445549775 12682991145 16428125703 21138318575 27380209505 37336649325 63414955725 82140628515 95084000281 136901047525 285252000843 410703142575 475420001405 1045924003091 1426260004215 2377100007025 3137772009273 5229620015455 7131300021075 15688860046365 26148100077275 78444300231825