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6721970328 = 233419796911
BaseRepresentation
bin1100100001010100…
…10010000010011000
3122100110120110210000
412100222102002120
5102231311022303
63031003053000
7325401543063
oct62052220230
918313513700
106721970328
11293a416887
121377211160
1383182b348
1447aa658da
152951e9da3
hex190a92098

6721970328 has 160 divisors (see below), whose sum is σ = 20072448000. Its totient is φ = 2095554240.

The previous prime is 6721970303. The next prime is 6721970341. The reversal of 6721970328 is 8230791276.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 969193 + ... + 976103.

It is an arithmetic number, because the mean of its divisors is an integer number (125452800).

Almost surely, 26721970328 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 6721970328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10036224000).

6721970328 is an abundant number, since it is smaller than the sum of its proper divisors (13350477672).

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

6721970328 is a wasteful number, since it uses less digits than its factorization.

6721970328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7027 (or 7014 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 6721970328 is about 81987.6230171359. The cubic root of 6721970328 is about 1887.2620067340.

The spelling of 6721970328 in words is "six billion, seven hundred twenty-one million, nine hundred seventy thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 79 81 108 114 152 158 162 171 216 228 237 316 324 342 456 474 513 632 648 684 711 948 1026 1368 1422 1501 1539 1896 2052 2133 2844 3002 3078 4104 4266 4503 5688 6004 6156 6399 6911 8532 9006 12008 12312 12798 13509 13822 17064 18012 20733 25596 27018 27644 36024 40527 41466 51192 54036 55288 62199 81054 82932 108072 121581 124398 131309 162108 165864 186597 243162 248796 262618 324216 373194 393927 486324 497592 525236 545969 559791 746388 787854 972648 1050472 1091938 1119582 1181781 1492776 1575708 1637907 2183876 2239164 2363562 3151416 3275814 3545343 4367752 4478328 4727124 4913721 6551628 7090686 9454248 9827442 10373411 10636029 13103256 14181372 14741163 19654884 20746822 21272058 28362744 29482326 31120233 39309768 41493644 42544116 44223489 58964652 62240466 82987288 85088232 88446978 93360699 117929304 124480932 176893956 186721398 248961864 280082097 353787912 373442796 560164194 746885592 840246291 1120328388 1680492582 2240656776 3360985164 6721970328