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6393682556664 = 2331375139116977
BaseRepresentation
bin101110100001010010100…
…1011010111011011111000
3211122020012201201112211020
41131002211023113123320
51314223230213303124
621333114530302440
71226633262014064
oct135024513273370
924566181645736
106393682556664
1120456001360a7
1287317b427a20
13374bc9c07a90
14181654d4caa4
15b14aae41379
hex5d0a52d76f8

6393682556664 has 128 divisors (see below), whose sum is σ = 17243560212480. Its totient is φ = 1963883520000.

The previous prime is 6393682556633. The next prime is 6393682556711. The reversal of 6393682556664 is 4666552863936.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 916390744 + ... + 916397720.

It is an arithmetic number, because the mean of its divisors is an integer number (134715314160).

Almost surely, 26393682556664 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 6393682556664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8621780106240).

6393682556664 is an abundant number, since it is smaller than the sum of its proper divisors (10849877655816).

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

6393682556664 is a wasteful number, since it uses less digits than its factorization.

6393682556664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11661 (or 11657 counting only the distinct ones).

The product of its digits is 1007769600, while the sum is 69.

The spelling of 6393682556664 in words is "six trillion, three hundred ninety-three billion, six hundred eighty-two million, five hundred fifty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 751 1502 2253 3004 3911 4506 6008 6977 7822 9012 9763 11733 13954 15644 18024 19526 20931 23466 27908 29289 31288 39052 41862 46932 50843 55816 58578 78104 83724 90701 93864 101686 117156 152529 167448 181402 203372 234312 272103 305058 362804 406744 544206 610116 725608 1088412 1220232 2176824 2937161 5239727 5874322 8811483 10479454 11748644 15719181 17622966 20958908 23497288 27287047 31438362 35245932 38183093 41917816 54574094 62876724 68116451 70491864 76366186 81861141 109148188 114549279 125753448 136232902 152732372 163722282 204349353 218296376 229098558 272465804 305464744 327444564 354731611 408698706 458197116 544931608 654889128 709463222 817397412 916394232 1064194833 1418926444 1634794824 2128389666 2837852888 4256779332 8513558664 20492572297 40985144594 61477716891 81970289188 122955433782 163940578376 245910867564 266403439861 491821735128 532806879722 799210319583 1065613759444 1598420639166 2131227518888 3196841278332 6393682556664