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6385340988 = 223213291074397
BaseRepresentation
bin1011111001001100…
…01001001000111100
3121111000010221010200
411330212021020330
5101034121402423
62533340003500
7314143334325
oct57446111074
917430127120
106385340988
1127873a4214
1212a2530590
137a9b76ca0
1444807944c
152758a2d43
hex17c98923c

6385340988 has 144 divisors (see below), whose sum is σ = 18153888480. Its totient is φ = 1878815232.

The previous prime is 6385340933. The next prime is 6385341007. The reversal of 6385340988 is 8890435836.

It is a happy number.

It is a super-2 number, since 2×63853409882 = 81545159066065632288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1450006 + ... + 1454402.

It is an arithmetic number, because the mean of its divisors is an integer number (126068670).

Almost surely, 26385340988 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 6385340988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9076944240).

6385340988 is an abundant number, since it is smaller than the sum of its proper divisors (11768547492).

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

6385340988 is a wasteful number, since it uses less digits than its factorization.

6385340988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4556 (or 4551 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 6385340988 is about 79908.3286522750. The cubic root of 6385340988 is about 1855.2169267506.

The spelling of 6385340988 in words is "six billion, three hundred eighty-five million, three hundred forty thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 107 116 117 156 174 214 234 261 321 348 377 428 468 522 642 754 963 1044 1131 1284 1391 1508 1926 2262 2782 3103 3393 3852 4173 4397 4524 5564 6206 6786 8346 8794 9309 12412 12519 13191 13572 16692 17588 18618 25038 26382 27927 37236 39573 40339 50076 52764 55854 57161 79146 80678 111708 114322 121017 127513 158292 161356 171483 228644 242034 255026 342966 363051 382539 470479 484068 510052 514449 685932 726102 765078 940958 1028898 1147617 1411437 1452204 1530156 1657669 1881916 2057796 2295234 2822874 3315338 4234311 4590468 4973007 5645748 6116227 6630676 8468622 9946014 12232454 13643891 14919021 16937244 18348681 19892028 24464908 27287782 29838042 36697362 40931673 54575564 55046043 59676084 73394724 81863346 110092086 122795019 163726692 177370583 220184172 245590038 354741166 491180076 532111749 709482332 1064223498 1596335247 2128446996 3192670494 6385340988