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4324385664 = 27332354403
BaseRepresentation
bin1000000011100000…
…01110001110000000
3102011101002112221000
410001300032032000
532324020320124
61553034332000
7212106446244
oct40160161600
912141075830
104324385664
11191a003a55
12a0828a000
1353bba9bb1
142d0474424
151a499e6c9
hex101c0e380

4324385664 has 128 divisors (see below), whose sum is σ = 13318099200. Its totient is φ = 1378764288.

The previous prime is 4324385651. The next prime is 4324385671. The reversal of 4324385664 is 4665834234.

4324385664 is a `hidden beast` number, since 43 + 2 + 43 + 8 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×43243856642 = 37400622742017441792, 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 15 ways as a sum of consecutive naturals, for example, 52287 + ... + 106689.

It is an arithmetic number, because the mean of its divisors is an integer number (104047650).

Almost surely, 24324385664 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 4324385664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6659049600).

4324385664 is an abundant number, since it is smaller than the sum of its proper divisors (8993713536).

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

4324385664 is a wasteful number, since it uses less digits than its factorization.

4324385664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54449 (or 54431 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The square root of 4324385664 is about 65760.0613138400. The cubic root of 4324385664 is about 1629.2015189107.

The spelling of 4324385664 in words is "four billion, three hundred twenty-four million, three hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 276 288 368 384 414 432 552 576 621 736 828 864 1104 1152 1242 1472 1656 1728 2208 2484 2944 3312 3456 4416 4968 6624 8832 9936 13248 19872 26496 39744 54403 79488 108806 163209 217612 326418 435224 489627 652836 870448 979254 1251269 1305672 1468881 1740896 1958508 2502538 2611344 2937762 3481792 3753807 3917016 5005076 5222688 5875524 6963584 7507614 7834032 10010152 10445376 11261421 11751048 15015228 15668064 20020304 20890752 22522842 23502096 30030456 31336128 33784263 40040608 45045684 47004192 60060912 62672256 67568526 80081216 90091368 94008384 120121824 135137052 160162432 180182736 188016768 240243648 270274104 360365472 480487296 540548208 720730944 1081096416 1441461888 2162192832 4324385664