Search a number
-
+
6750839462913 = 347213166778487
BaseRepresentation
bin110001000111100110101…
…1000110101110000000001
3212220101002121110020220000
41202033031120311300001
51341101204400303123
622205143130310213
71264506044434200
oct142171530656001
925811077406800
106750839462913
112173018978aa7
12910436588369
1339c7a8458870
14194a57103237
15ba911454b43
hex623cd635c01

6750839462913 has 120 divisors (see below), whose sum is σ = 12641178699072. Its totient is φ = 3558700910016.

The previous prime is 6750839462881. The next prime is 6750839462971. The reversal of 6750839462913 is 3192649380576.

6750839462913 is a `hidden beast` number, since 6 + 7 + 5 + 0 + 83 + 9 + 462 + 91 + 3 = 666.

It is not a de Polignac number, because 6750839462913 - 25 = 6750839462881 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6750839462113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 85972956 + ... + 86051442.

It is a 1-persistent number, because it is pandigital, but 2⋅6750839462913 = 13501678925826 is not.

Almost surely, 26750839462913 is an apocalyptic number.

6750839462913 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

6750839462913 is a deficient number, since it is larger than the sum of its proper divisors (5890339236159).

6750839462913 is a wasteful number, since it uses less digits than its factorization.

6750839462913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80193 (or 80177 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 6750839462913 in words is "six trillion, seven hundred fifty billion, eight hundred thirty-nine million, four hundred sixty-two thousand, nine hundred thirteen".

Divisors: 1 3 7 9 13 21 27 39 49 63 81 91 117 147 189 273 351 441 567 637 819 1053 1323 1667 1911 2457 3969 5001 5733 7371 11669 15003 17199 21671 35007 45009 51597 65013 78487 81683 105021 135027 151697 195039 235461 245049 315063 455091 549409 585117 706383 735147 945189 1020331 1061879 1365273 1648227 1755351 2119149 2205441 3060993 3185637 3845863 4095819 4944681 6357447 6616323 7142317 9182979 9556911 11537589 12287457 14834043 21426951 27548937 28670733 34612767 44502129 49996219 64280853 82646811 86012199 103838301 130837829 149988657 192842559 311514903 392513487 449965971 578527677 915864803 1177540461 1349897913 1700891777 2747594409 3532621383 4049693739 5102675331 6411053621 8242783227 10597864149 11906242439 15308025993 19233160863 24728349681 35718727317 45924077979 57699482589 74185049043 83343697073 107156181951 137772233937 173098447767 250031091219 321468545853 519295343301 750093273657 964405637559 2250279820971 6750839462913