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16678136805408 = 2532132342663889
BaseRepresentation
bin1111001010110010111001…
…1010110111100000100000
32012001102012000210211201200
43302230232122313200200
54141223311010233113
655245455201201200
73340645530530061
oct362545632674040
965042160724650
1016678136805408
115350181479401
121a54402330200
1393c984262500
144193246d4568
151ddc83879873
hexf2b2e6b7820

16678136805408 has 108 divisors (see below), whose sum is σ = 51357435841530. Its totient is φ = 5131734386688.

The previous prime is 16678136805353. The next prime is 16678136805439. The reversal of 16678136805408 is 80450863187661.

16678136805408 is a `hidden beast` number, since 1 + 6 + 6 + 7 + 8 + 1 + 3 + 6 + 80 + 540 + 8 = 666.

16678136805408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3733597791504 + 12944539013904 = 1932252^2 + 3597852^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 171283273 + ... + 171380616.

Almost surely, 216678136805408 is an apocalyptic number.

16678136805408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16678136805408 is an abundant number, since it is smaller than the sum of its proper divisors (34679299036122).

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

16678136805408 is a wasteful number, since it uses less digits than its factorization.

16678136805408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342663931 (or 342663907 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 16678136805408 in words is "sixteen trillion, six hundred seventy-eight billion, one hundred thirty-six million, eight hundred five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 169 208 234 288 312 338 416 468 507 624 676 936 1014 1248 1352 1521 1872 2028 2704 3042 3744 4056 5408 6084 8112 12168 16224 24336 48672 342663889 685327778 1027991667 1370655556 2055983334 2741311112 3083975001 4111966668 4454630557 5482622224 6167950002 8223933336 8909261114 10965244448 12335900004 13363891671 16447866672 17818522228 24671800008 26727783342 32895733344 35637044456 40091675013 49343600016 53455566684 57910197241 71274088912 80183350026 98687200032 106911133368 115820394482 142548177824 160366700052 173730591723 213822266736 231640788964 320733400104 347461183446 427644533472 463281577928 521191775169 641466800208 694922366892 926563155856 1042383550338 1282933600416 1389844733784 1853126311712 2084767100676 2779689467568 4169534201352 5559378935136 8339068402704 16678136805408