Search a number
-
+
47085139675080 = 23345131117880809
BaseRepresentation
bin10101011010010110111010…
…00001100100011111001000
320011201021222100012121110000
422231023131001210133020
522132420331224100310
6244050340424323000
712626534440441053
oct1255133501443710
9204637870177400
1047085139675080
1114003771926451
1253454ba013460
132037156aabc50
14b8ad0bd09a9a
15569bd4c314c0
hex2ad2dd0647c8

47085139675080 has 160 divisors (see below), whose sum is σ = 170432108292600. Its totient is φ = 11590188217344.

The previous prime is 47085139675039. The next prime is 47085139675087. The reversal of 47085139675080 is 8057693158074.

47085139675080 is a `hidden beast` number, since 4 + 7 + 0 + 8 + 513 + 9 + 67 + 50 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31345464084804 + 15739675590276 = 5598702^2 + 3967326^2 .

It is a junction number, because it is equal to n+sod(n) for n = 47085139674999 and 47085139675017.

It is not an unprimeable number, because it can be changed into a prime (47085139675087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 558898285 + ... + 558982524.

Almost surely, 247085139675080 is an apocalyptic number.

47085139675080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47085139675080 is an abundant number, since it is smaller than the sum of its proper divisors (123346968617520).

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

47085139675080 is a wasteful number, since it uses less digits than its factorization.

47085139675080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117880845 (or 1117880832 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 47085139675080 in words is "forty-seven trillion, eighty-five billion, one hundred thirty-nine million, six hundred seventy-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 702 780 810 936 1053 1080 1170 1404 1560 1620 1755 2106 2340 2808 3240 3510 4212 4680 5265 7020 8424 10530 14040 21060 42120 1117880809 2235761618 3353642427 4471523236 5589404045 6707284854 8943046472 10060927281 11178808090 13414569708 14532450517 16768212135 20121854562 22357616180 26829139416 29064901034 30182781843 33536424270 40243709124 43597351551 44715232360 50304636405 58129802068 60365563686 67072848540 72662252585 80487418248 87194703102 90548345529 100609272810 116259604136 120731127372 130792054653 134145697080 145324505170 150913909215 174389406204 181096691058 201218545620 217986757755 241462254744 261584109306 290649010340 301827818430 348778812408 362193382116 392376163959 402437091240 435973515510 452741727645 523168218612 581298020680 603655636860 653960273265 724386764232 784752327918 871947031020 905483455290 1046336437224 1177128491877 1207311273720 1307920546530 1569504655836 1743894062040 1810966910580 1961880819795 2354256983754 2615841093060 3139009311672 3621933821160 3923761639590 4708513967508 5231682186120 5885642459385 7847523279180 9417027935016 11771284918770 15695046558360 23542569837540 47085139675080