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643683697488 = 243313379302417
BaseRepresentation
bin10010101110111101000…
…10011100001101010000
32021112110102102210222000
421113132202130031100
541021231011304423
61211412035314000
764335040103436
oct11273642341520
92245412383860
10643683697488
11228a91737027
12a490044b900
1348911c46210
1423223b8ad56
1511b24e4a843
hex95de89c350

643683697488 has 160 divisors (see below), whose sum is σ = 1994991062400. Its totient is φ = 197533292544.

The previous prime is 643683697477. The next prime is 643683697499. The reversal of 643683697488 is 884796386346.

643683697488 is a `hidden beast` number, since 6 + 4 + 3 + 6 + 83 + 69 + 7 + 488 = 666.

It is an interprime number because it is at equal distance from previous prime (643683697477) and next prime (643683697499).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1977256 + ... + 2279672.

It is an arithmetic number, because the mean of its divisors is an integer number (12468694140).

Almost surely, 2643683697488 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 643683697488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997495531200).

643683697488 is an abundant number, since it is smaller than the sum of its proper divisors (1351307364912).

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

643683697488 is a wasteful number, since it uses less digits than its factorization.

643683697488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302826 (or 302814 counting only the distinct ones).

The product of its digits is 1003290624, while the sum is 72.

The spelling of 643683697488 in words is "six hundred forty-three billion, six hundred eighty-three million, six hundred ninety-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 379 432 468 624 702 758 936 1137 1404 1516 1872 2274 2808 3032 3411 4548 4927 5616 6064 6822 9096 9854 10233 13644 14781 18192 19708 20466 27288 29562 39416 40932 44343 54576 59124 78832 81864 88686 118248 133029 163728 177372 236496 266058 302417 354744 532116 604834 709488 907251 1064232 1209668 1814502 2128464 2419336 2721753 3629004 3931421 4838672 5443506 7258008 7862842 8165259 10887012 11794263 14516016 15725684 16330518 21774024 23588526 31451368 32661036 35382789 43548048 47177052 62902736 65322072 70765578 94354104 106148367 114616043 130644144 141531156 188708208 212296734 229232086 283062312 343848129 424593468 458464172 566124624 687696258 849186936 916928344 1031544387 1375392516 1490008559 1698373872 1833856688 2063088774 2750785032 2980017118 3094633161 4126177548 4470025677 5501570064 5960034236 6189266322 8252355096 8940051354 11920068472 12378532644 13410077031 16504710192 17880102708 23840136944 24757065288 26820154062 35760205416 40230231093 49514130576 53640308124 71520410832 80460462186 107280616248 160920924372 214561232496 321841848744 643683697488