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6482121642864 = 2432716369392857
BaseRepresentation
bin101111001010011110010…
…0011101101001101110000
3211221200111012110121202100
41132110330203231031300
51322200341120032424
621441502351020400
71236214005601410
oct136247443551560
924850435417670
106482121642864
11207a06375158a
1288834150a700
1338035252ac0a
14185a4480c640
15b393523edc9
hex5e53c8ed370

6482121642864 has 120 divisors (see below), whose sum is σ = 20733819523040. Its totient is φ = 1851916898304.

The previous prime is 6482121642823. The next prime is 6482121642911. The reversal of 6482121642864 is 4682461212846.

6482121642864 is a `hidden beast` number, since 6 + 482 + 1 + 21 + 64 + 2 + 86 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6482121642864.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16303524 + ... + 16696380.

Almost surely, 26482121642864 is an apocalyptic number.

It is an amenable number.

6482121642864 is an abundant number, since it is smaller than the sum of its proper divisors (14251697880176).

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

6482121642864 is a wasteful number, since it uses less digits than its factorization.

6482121642864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409247 (or 409238 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 6482121642864 in words is "six trillion, four hundred eighty-two billion, one hundred twenty-one million, six hundred forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 16369 32738 49107 65476 98214 114583 130952 147321 196428 229166 261904 294642 343749 392856 392857 458332 589284 687498 785712 785714 916664 1031247 1178568 1178571 1374996 1571428 1833328 2062494 2357136 2357142 2749992 2749999 3142856 3535713 4124988 4714284 5499984 5499998 6285712 7071426 8249976 8249997 9428568 10999996 14142852 16499952 16499994 18857136 21999992 24749991 28285704 32999988 43999984 49499982 56571408 65999976 98999964 131999952 197999928 395999856 6430676233 12861352466 19292028699 25722704932 38584057398 45014733631 51445409864 57876086097 77168114796 90029467262 102890819728 115752172194 135044200893 154336229592 180058934524 231504344388 270088401786 308672459184 360117869048 405132602679 463008688776 540176803572 720235738096 810265205358 926017377552 1080353607144 1620530410716 2160707214288 3241060821432 6482121642864