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6858083840 = 2959972687
BaseRepresentation
bin1100110001100011…
…00000111000000000
3122200221200202102012
412120301200320000
5103021132140330
63052304312052
7331643515346
oct63061407000
918627622365
106858083840
1129aa233993
1213b4912628
13853aa769a
14490b77996
152a2134c95
hex198c60e00

6858083840 has 80 divisors (see below), whose sum is σ = 16465946112. Its totient is φ = 2739462144.

The previous prime is 6858083737. The next prime is 6858083851. The reversal of 6858083840 is 483808586.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 2.

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 7 ways as a sum of consecutive naturals, for example, 2550977 + ... + 2553663.

Almost surely, 26858083840 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 6858083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8232973056).

6858083840 is an abundant number, since it is smaller than the sum of its proper divisors (9607862272).

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

6858083840 is an equidigital number, since it uses as much as digits as its factorization.

6858083840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3707 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 50.

The square root of 6858083840 is about 82813.5486499643. The cubic root of 6858083840 is about 1899.9154015888.

The spelling of 6858083840 in words is "six billion, eight hundred fifty-eight million, eighty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 997 1280 1994 2560 2687 3988 4985 5374 7976 9970 10748 13435 15952 19940 21496 26870 31904 39880 42992 53740 63808 79760 85984 107480 127616 159520 171968 214960 255232 319040 343936 429920 510464 638080 687872 859840 1276160 1375744 1719680 2552320 2678939 3439360 5357878 6878720 10715756 13394695 21431512 26789390 42863024 53578780 85726048 107157560 171452096 214315120 342904192 428630240 685808384 857260480 1371616768 1714520960 3429041920 6858083840