Search a number
-
+
16306952880384 = 283317539134513
BaseRepresentation
bin1110110101001100001000…
…1000100100000100000000
32010201221002120202202022000
43231103002020210010000
54114133114414133014
654403151041344000
73302065331320335
oct355230210440400
963657076682260
1016306952880384
115217815863701
1219b4491638000
1391397b93280a
1440539163298c
151d42abb97509
hexed4c2224100

16306952880384 has 144 divisors (see below), whose sum is σ = 48225636446400. Its totient is φ = 5435300634624.

The previous prime is 16306952880353. The next prime is 16306952880397. The reversal of 16306952880384 is 48308825960361.

It is a happy number.

16306952880384 is a `hidden beast` number, since 16 + 3 + 0 + 69 + 528 + 8 + 0 + 38 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 121162312 + ... + 121296824.

It is an arithmetic number, because the mean of its divisors is an integer number (334900253100).

Almost surely, 216306952880384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16306952880384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24112818223200).

16306952880384 is an abundant number, since it is smaller than the sum of its proper divisors (31918683566016).

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

16306952880384 is a wasteful number, since it uses less digits than its factorization.

16306952880384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152077 (or 152057 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 16306952880384 in words is "sixteen trillion, three hundred six billion, nine hundred fifty-two million, eight hundred eighty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 17539 35078 52617 70156 105234 134513 140312 157851 210468 269026 280624 315702 403539 420936 473553 538052 561248 631404 807078 841872 947106 1076104 1122496 1210617 1262808 1614156 1683744 1894212 2152208 2244992 2421234 2525616 3228312 3367488 3631851 3788424 4304416 4489984 4842468 5051232 6456624 6734976 7263702 7576848 8608832 9684936 10102464 12913248 13469952 14527404 15153696 17217664 19369872 20204928 25826496 29054808 30307392 34435328 38739744 40409856 51652992 58109616 60614784 77479488 103305984 116219232 121229568 154958976 232438464 309917952 464876928 929753856 2359223507 4718447014 7077670521 9436894028 14155341042 18873788056 21233011563 28310682084 37747576112 42466023126 56621364168 63699034689 75495152224 84932046252 113242728336 127398069378 150990304448 169864092504 226485456672 254796138756 301980608896 339728185008 452970913344 509592277512 603961217792 679456370016 905941826688 1019184555024 1358912740032 1811883653376 2038369110048 2717825480064 4076738220096 5435650960128 8153476440192 16306952880384