Search a number
-
+
6455203368672 = 253175637025567
BaseRepresentation
bin101110111101111100000…
…0110101000111011100000
3211212010000012222121110010
41131323320012220323200
51321230224030244142
621421251323004520
71234241646210042
oct135737006507340
924763005877403
106455203368672
112069700018793
1288308a669740
1337a952763116
1418460d7a1a92
15b2dabe4ee9c
hex5def81a8ee0

6455203368672 has 96 divisors (see below), whose sum is σ = 17973538716672. Its totient is φ = 2021564463104.

The previous prime is 6455203368671. The next prime is 6455203368701. The reversal of 6455203368672 is 2768633025546.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6455203368671) 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 15 ways as a sum of consecutive naturals, for example, 2593968 + ... + 4431599.

It is an arithmetic number, because the mean of its divisors is an integer number (187224361632).

Almost surely, 26455203368672 is an apocalyptic number.

It is an amenable number.

6455203368672 is an abundant number, since it is smaller than the sum of its proper divisors (11518335348000).

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

6455203368672 is a wasteful number, since it uses less digits than its factorization.

6455203368672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7026160 (or 7026152 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 57.

The spelling of 6455203368672 in words is "six trillion, four hundred fifty-five billion, two hundred three million, three hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 563 816 1126 1632 1689 2252 3378 4504 6756 9008 9571 13512 18016 19142 27024 28713 38284 54048 57426 76568 114852 153136 229704 306272 459408 918816 7025567 14051134 21076701 28102268 42153402 56204536 84306804 112409072 119434639 168613608 224818144 238869278 337227216 358303917 477738556 674454432 716607834 955477112 1433215668 1910954224 2866431336 3821908448 3955394221 5732862672 7910788442 11465725344 11866182663 15821576884 23732365326 31643153768 47464730652 63286307536 67241701757 94929461304 126572615072 134483403514 189858922608 201725105271 268966807028 379717845216 403450210542 537933614056 806900421084 1075867228112 1613800842168 2151734456224 3227601684336 6455203368672