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2684368568 = 237243712243
BaseRepresentation
bin1010000000000000…
…0011011010111000
320221002010001102002
42200000003122320
520444144243233
61122211200132
7123343520300
oct24000033270
96832101362
102684368568
11115828a922
1262aba6048
1333a1a288b
141b6724600
1510a9e86e8
hexa00036b8

2684368568 has 96 divisors (see below), whose sum is σ = 6078188160. Its totient is φ = 1107368640.

The previous prime is 2684368567. The next prime is 2684368579. The reversal of 2684368568 is 8658634862.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2684368567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1195655 + ... + 1197897.

It is an arithmetic number, because the mean of its divisors is an integer number (63314460).

Almost surely, 22684368568 is an apocalyptic number.

2684368568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2684368568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3039094080).

2684368568 is an abundant number, since it is smaller than the sum of its proper divisors (3393819592).

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

2684368568 is a wasteful number, since it uses less digits than its factorization.

2684368568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2366 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 56.

The square root of 2684368568 is about 51810.8923683042. The cubic root of 2684368568 is about 1389.7842371654.

The spelling of 2684368568 in words is "two billion, six hundred eighty-four million, three hundred sixty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 43 49 56 71 86 98 142 172 196 284 301 344 392 497 568 602 994 1204 1988 2107 2243 2408 3053 3479 3976 4214 4486 6106 6958 8428 8972 12212 13916 15701 16856 17944 21371 24424 27832 31402 42742 62804 85484 96449 109907 125608 149597 159253 170968 192898 219814 299194 318506 385796 439628 598388 637012 675143 771592 879256 1114771 1196776 1274024 1350286 2229542 2700572 4459084 4726001 5401144 6847879 7803397 8918168 9452002 13695758 15606794 18904004 27391516 31213588 37808008 47935153 54783032 62427176 95870306 191740612 335546071 383481224 671092142 1342184284 2684368568