Search a number
-
+
78786064990125 = 3253973701195077
BaseRepresentation
bin10001111010011111001111…
…011010101011111110101101
3101022221212121022222001202200
4101322133033122223332231
540311312330114141000
6435321452452212113
722411051064565333
oct2172371732537655
9338855538861680
1078786064990125
1123115a89813969
128a0532590a039
1334c6656571a4c
1415653a186db53
159196166a6500
hex47a7cf6abfad

78786064990125 has 96 divisors (see below), whose sum is σ = 143528694682464. Its totient is φ = 41574597120000.

The previous prime is 78786064990097. The next prime is 78786064990151. The reversal of 78786064990125 is 52109946068787.

78786064990125 is a `hidden beast` number, since 7 + 8 + 7 + 8 + 6 + 0 + 6 + 499 + 0 + 125 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 76328651337129 + 2457413652996 = 8736627^2 + 1567614^2 .

It is not a de Polignac number, because 78786064990125 - 28 = 78786064989869 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 403774087 + ... + 403969163.

It is an arithmetic number, because the mean of its divisors is an integer number (1495090569609).

Almost surely, 278786064990125 is an apocalyptic number.

78786064990125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

78786064990125 is a deficient number, since it is larger than the sum of its proper divisors (64742629692339).

78786064990125 is a wasteful number, since it uses less digits than its factorization.

78786064990125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198896 (or 198883 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 78786064990125 in words is "seventy-eight trillion, seven hundred eighty-six billion, sixty-four million, nine hundred ninety thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 97 125 225 291 375 485 873 1125 1455 2425 3701 4365 7275 11103 12125 18505 21825 33309 36375 55515 92525 109125 166545 195077 277575 358997 462625 585231 832725 975385 1076991 1387875 1755693 1794985 2926155 3230973 4163625 4876925 5384955 8778465 8974925 14630775 16154865 18922469 24384625 26924775 43892325 44874625 56767407 73153875 80774325 94612345 134623875 170302221 219461625 283837035 403871625 473061725 721979977 851511105 1419185175 2165939931 2365308625 3609899885 4257555525 6497819793 7095925875 10829699655 18049499425 21287777625 32489098965 54148498275 70032057769 90247497125 162445494825 210096173307 270742491375 350160288845 630288519921 812227474125 1050480866535 1750801444225 3151442599605 5252404332675 8754007221125 15757212998025 26262021663375 78786064990125