Search a number
-
+
6850061649216 = 2635440461783
BaseRepresentation
bin110001110101110011101…
…1111011100010101000000
3220020212012120111120100000
41203223213133130111000
51344212411240233331
622322512550200000
71304620625212242
oct143534737342500
926225176446300
106850061649216
112201105247165
12927707953000
133a8c5ba829c6
1419978ab32092
15bd2bc24b0e6
hex63ae77dc540

6850061649216 has 84 divisors (see below), whose sum is σ = 20361667350752. Its totient is φ = 2283353877888.

The previous prime is 6850061649199. The next prime is 6850061649217. The reversal of 6850061649216 is 6129461600586.

6850061649216 is a `hidden beast` number, since 6 + 8 + 5 + 0 + 0 + 616 + 4 + 9 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6850061649217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220215340 + ... + 220246443.

Almost surely, 26850061649216 is an apocalyptic number.

It is an amenable number.

6850061649216 is an abundant number, since it is smaller than the sum of its proper divisors (13511605701536).

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

6850061649216 is an equidigital number, since it uses as much as digits as its factorization.

6850061649216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440461810 (or 440461788 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 6850061649216 in words is "six trillion, eight hundred fifty billion, sixty-one million, six hundred forty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7776 15552 440461783 880923566 1321385349 1761847132 2642770698 3523694264 3964156047 5285541396 7047388528 7928312094 10571082792 11892468141 14094777056 15856624188 21142165584 23784936282 28189554112 31713248376 35677404423 42284331168 47569872564 63426496752 71354808846 84568662336 95139745128 107032213269 126852993504 142709617692 190279490256 214064426538 253705987008 285419235384 380558980512 428128853076 570838470768 761117961024 856257706152 1141676941536 1712515412304 2283353883072 3425030824608 6850061649216