Search a number
-
+
14996847665205 = 3357107151982217
BaseRepresentation
bin1101101000111011100111…
…0001110010000000110101
31222002200111002200011212000
43122032321301302000311
53431202021000241310
651521242352045513
73105325602611130
oct332167161620065
958080432604760
1014996847665205
1148621445a380a
1218225a5b33899
1384a2730cc713
1439bbcbd77217
151b0180a2e4c0
hexda3b9c72035

14996847665205 has 128 divisors (see below), whose sum is σ = 30958254120960. Its totient is φ = 6746645260800.

The previous prime is 14996847665153. The next prime is 14996847665237. The reversal of 14996847665205 is 50256674869941.

14996847665205 is a `hidden beast` number, since 1 + 4 + 9 + 96 + 8 + 4 + 7 + 6 + 6 + 520 + 5 = 666.

14996847665205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14996847665205 - 213 = 14996847657013 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14777257 + ... + 15759473.

It is an arithmetic number, because the mean of its divisors is an integer number (241861360320).

Almost surely, 214996847665205 is an apocalyptic number.

14996847665205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14996847665205 is an abundant number, since it is smaller than the sum of its proper divisors (15961406455755).

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

14996847665205 is a wasteful number, since it uses less digits than its factorization.

14996847665205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982496 (or 982490 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 14996847665205 in words is "fourteen trillion, nine hundred ninety-six billion, eight hundred forty-seven million, six hundred sixty-five thousand, two hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 107 135 151 189 315 321 453 535 749 755 945 963 1057 1359 1605 2247 2265 2889 3171 3745 4077 4815 5285 6741 6795 9513 11235 14445 15855 16157 20223 20385 28539 33705 47565 48471 80785 101115 113099 142695 145413 242355 339297 436239 565495 727065 982217 1017891 1696485 2181195 2946651 3053673 4911085 5089455 6875519 8839953 14733255 15268365 20626557 26519859 34377595 44199765 61879671 103132785 105097219 132599295 148314767 185639013 309398355 315291657 444944301 525486095 735680533 741573835 928195065 945874971 1038203369 1334832903 1576458285 2207041599 2224721505 2837624913 3114610107 3678402665 4004498709 4729374855 5191016845 6621124797 6674164515 9343830321 11035207995 14188124565 15573050535 15869680069 19863374391 20022493545 28031490963 33105623985 46719151605 47609040207 79348400345 99316871955 111087760483 140157454815 142827120621 238045201035 333263281449 428481361863 555438802415 714135603105 999789844347 1666316407245 2142406809315 2999369533041 4998949221735 14996847665205