Search a number
-
+
16470693917216 = 2571149597134777
BaseRepresentation
bin1110111110101110000111…
…0111000011001000100000
32011022120201222102021001122
43233223201313003020200
54124323440120322331
655010310552151412
73316653102214430
oct357534167031040
964276658367048
1016470693917216
115280200365140
121a2016a098568
13926244c607a6
1440d285d2a2c0
151d8691ca517b
hexefae1dc3220

16470693917216 has 96 divisors (see below), whose sum is σ = 40429181987712. Its totient is φ = 6416976476160.

The previous prime is 16470693917213. The next prime is 16470693917231. The reversal of 16470693917216 is 61271939607461.

16470693917216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164706939172162 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16470693917213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122139620 + ... + 122274396.

It is an arithmetic number, because the mean of its divisors is an integer number (421137312372).

Almost surely, 216470693917216 is an apocalyptic number.

16470693917216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16470693917216 is an abundant number, since it is smaller than the sum of its proper divisors (23958488070496).

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

16470693917216 is a wasteful number, since it uses less digits than its factorization.

16470693917216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184402 (or 184394 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 62.

The spelling of 16470693917216 in words is "sixteen trillion, four hundred seventy billion, six hundred ninety-three million, nine hundred seventeen thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 49597 99194 134777 198388 269554 347179 396776 539108 545567 694358 793552 943439 1078216 1091134 1388716 1482547 1587104 1886878 2156432 2182268 2777432 2965094 3773756 3818969 4312864 4364536 5554864 5930188 7547512 7637938 8729072 10377829 11109728 11860376 15095024 15275876 17458144 20755658 23720752 30190048 30551752 41511316 47441504 61103504 83022632 122207008 166045264 332090528 6684534869 13369069738 26738139476 46791744083 53476278952 73529883559 93583488166 106952557904 147059767118 187166976332 213905115808 294119534236 374333952664 514709184913 588239068472 748667905328 1029418369826 1176478136944 1497335810656 2058836739652 2352956273888 4117673479304 8235346958608 16470693917216