Search a number
-
+
6364958442464 = 254761233297757
BaseRepresentation
bin101110010011111010100…
…0101100100001111100000
3211112111001220020100201202
41130213311011210033200
51313240413330124324
621312004353020332
71224565414042646
oct134476505441740
924474056210652
106364958442464
112034400119a46
128696a38546a8
1337229cc869bb
141800cc149196
15b08793428ae
hex5c9f51643e0

6364958442464 has 96 divisors (see below), whose sum is σ = 13063296145536. Its totient is φ = 3050545950720.

The previous prime is 6364958442463. The next prime is 6364958442503. The reversal of 6364958442464 is 4642448594636.

It is a hoax number, since the sum of its digits (65) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6364958442464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6364958442463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21227474 + ... + 21525230.

It is an arithmetic number, because the mean of its divisors is an integer number (136076001516).

Almost surely, 26364958442464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6364958442464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531648072768).

6364958442464 is an abundant number, since it is smaller than the sum of its proper divisors (6698337703072).

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

6364958442464 is a wasteful number, since it uses less digits than its factorization.

6364958442464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298108 (or 298100 counting only the distinct ones).

The product of its digits is 477757440, while the sum is 65.

The spelling of 6364958442464 in words is "six trillion, three hundred sixty-four billion, nine hundred fifty-eight million, four hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 47 61 94 122 188 233 244 376 466 488 752 932 976 1504 1864 1952 2867 3728 5734 7456 10951 11468 14213 21902 22936 28426 43804 45872 56852 87608 91744 113704 175216 227408 297757 350432 454816 595514 668011 1191028 1336022 2382056 2672044 4764112 5344088 9528224 10688176 13994579 18163177 21376352 27989158 36326354 55978316 69377381 72652708 111956632 138754762 145305416 223913264 277509524 290610832 447826528 555019048 581221664 853669319 1110038096 1707338638 2220076192 3260736907 3414677276 4232020241 6521473814 6829354552 8464040482 13042947628 13658709104 16928080964 26085895256 27317418208 33856161928 52171790512 67712323856 104343581024 135424647712 198904951327 397809902654 795619805308 1591239610616 3182479221232 6364958442464