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47172173736864 = 25311113395315213
BaseRepresentation
bin10101011100111001000001…
…01010001010101110100000
320012000121121220011001012210
422232130200222022232200
522140332102434034424
6244154333014322120
712636035303655321
oct1256344052125640
9205017556131183
1047172173736864
1114037674331230
12535a349659340
1320424172b46a7
14b91206d4a448
1556c0ca9e6729
hex2ae720a8aba0

47172173736864 has 96 divisors (see below), whose sum is σ = 136279385613504. Its totient is φ = 14168097198080.

The previous prime is 47172173736823. The next prime is 47172173736917. The reversal of 47172173736864 is 46863737127174.

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

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 47172173736795 and 47172173736804.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197538279 + ... + 197776934.

It is an arithmetic number, because the mean of its divisors is an integer number (1419576933474).

Almost surely, 247172173736864 is an apocalyptic number.

47172173736864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

47172173736864 is an abundant number, since it is smaller than the sum of its proper divisors (89107211876640).

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

47172173736864 is a wasteful number, since it uses less digits than its factorization.

47172173736864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395315350 (or 395315342 counting only the distinct ones).

The product of its digits is 199148544, while the sum is 66.

The spelling of 47172173736864 in words is "forty-seven trillion, one hundred seventy-two billion, one hundred seventy-three million, seven hundred thirty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 113 132 176 226 264 339 352 452 528 678 904 1056 1243 1356 1808 2486 2712 3616 3729 4972 5424 7458 9944 10848 14916 19888 29832 39776 59664 119328 395315213 790630426 1185945639 1581260852 2371891278 3162521704 4348467343 4743782556 6325043408 8696934686 9487565112 12650086816 13045402029 17393869372 18975130224 26090804058 34787738744 37950260448 44670619069 52181608116 69575477488 89341238138 104363216232 134011857207 139150954976 178682476276 208726432464 268023714414 357364952552 417452864928 491376809759 536047428828 714729905104 982753619518 1072094857656 1429459810208 1474130429277 1965507239036 2144189715312 2948260858554 3931014478072 4288379430624 5896521717108 7862028956144 11793043434216 15724057912288 23586086868432 47172173736864