Search a number
-
+
6400064000384 = 2770970522567
BaseRepresentation
bin101110100100010000110…
…0010101001000110000000
3211122211200110112110220122
41131020201202221012000
51314324312341003014
621340052050555412
71230250360260215
oct135104142510600
924584613473818
106400064000384
11204828530822a
12874460598b68
133756a6018b92
14181a9c691b0c
15b17312c458e
hex5d2218a9180

6400064000384 has 32 divisors (see below), whose sum is σ = 12768110936400. Its totient is φ = 3195518510592.

The previous prime is 6400064000261. The next prime is 6400064000411. The reversal of 6400064000384 is 4830004600046.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×64000640003843 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35170532 + ... + 35352035.

Almost surely, 26400064000384 is an apocalyptic number.

6400064000384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6400064000384 is a deficient number, since it is larger than the sum of its proper divisors (6368046936016).

6400064000384 is an equidigital number, since it uses as much as digits as its factorization.

6400064000384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70523290 (or 70523278 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 6400064000384 in words is "six trillion, four hundred billion, sixty-four million, three hundred eighty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 64 128 709 1418 2836 5672 11344 22688 45376 90752 70522567 141045134 282090268 564180536 1128361072 2256722144 4513444288 9026888576 50000500003 100001000006 200002000012 400004000024 800008000048 1600016000096 3200032000192 6400064000384