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5643000320 = 29523239401
BaseRepresentation
bin1010100000101100…
…10101101000000000
3112120021022010011212
411100112111220000
543024102002240
62331541025252
7256560465656
oct52026255000
915507263155
105643000320
112436365731
1211159b5228
136bc131859
143b763cdd6
1523061a165
hex150595a00

5643000320 has 160 divisors (see below), whose sum is σ = 14212661760. Its totient is φ = 2144665600.

The previous prime is 5643000301. The next prime is 5643000331. The reversal of 5643000320 is 230003465.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×56430003202 = 63686905223040204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14072120 + ... + 14072520.

It is an arithmetic number, because the mean of its divisors is an integer number (88829136).

Almost surely, 25643000320 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 5643000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7106330880).

5643000320 is an abundant number, since it is smaller than the sum of its proper divisors (8569661440).

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

5643000320 is a wasteful number, since it uses less digits than its factorization.

5643000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 5643000320 is about 75119.9062832216. The cubic root of 5643000320 is about 1780.3416757728.

Adding to 5643000320 its reverse (230003465), we get a palindrome (5873003785).

The spelling of 5643000320 in words is "five billion, six hundred forty-three million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 239 256 320 368 401 460 478 512 640 736 802 920 956 1195 1280 1472 1604 1840 1912 2005 2390 2560 2944 3208 3680 3824 4010 4780 5497 5888 6416 7360 7648 8020 9223 9560 10994 11776 12832 14720 15296 16040 18446 19120 21988 25664 27485 29440 30592 32080 36892 38240 43976 46115 51328 54970 58880 61184 64160 73784 76480 87952 92230 95839 102656 109940 122368 128320 147568 152960 175904 184460 191678 205312 219880 256640 295136 305920 351808 368920 383356 439760 479195 513280 590272 611840 703616 737840 766712 879520 958390 1026560 1180544 1407232 1475680 1533424 1759040 1916780 2204297 2361088 2814464 2951360 3066848 3518080 3833560 4408594 4722176 5902720 6133696 7036160 7667120 8817188 11021485 11805440 12267392 14072320 15334240 17634376 22042970 23610880 24534784 30668480 35268752 44085940 49069568 61336960 70537504 88171880 122673920 141075008 176343760 245347840 282150016 352687520 564300032 705375040 1128600064 1410750080 2821500160 5643000320