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6850168320 = 29354320743
BaseRepresentation
bin1100110000100110…
…10100011000000000
3122200101210121100210
412120103110120000
5103012120341240
63051422514120
7331516320132
oct63023243000
918611717323
106850168320
1129a5817936
1213b2135940
13852265848
1448dab7052
152a15be780
hex1984d4600

6850168320 has 160 divisors (see below), whose sum is σ = 22409494272. Its totient is φ = 1784143872.

The previous prime is 6850168231. The next prime is 6850168397. The reversal of 6850168320 is 238610586.

It is a happy number.

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

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 15 ways as a sum of consecutive naturals, for example, 319869 + ... + 340611.

Almost surely, 26850168320 is an apocalyptic number.

6850168320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6850168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11204747136).

6850168320 is an abundant number, since it is smaller than the sum of its proper divisors (15559325952).

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

6850168320 is a wasteful number, since it uses less digits than its factorization.

6850168320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20812 (or 20796 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 6850168320 is about 82765.7436382952. The cubic root of 6850168320 is about 1899.1841668251.

The spelling of 6850168320 in words is "six billion, eight hundred fifty million, one hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 128 129 160 172 192 215 240 256 258 320 344 384 430 480 512 516 640 645 688 768 860 960 1032 1280 1290 1376 1536 1720 1920 2064 2560 2580 2752 3440 3840 4128 5160 5504 6880 7680 8256 10320 11008 13760 16512 20640 20743 22016 27520 33024 41280 41486 55040 62229 66048 82560 82972 103715 110080 124458 165120 165944 207430 248916 311145 330240 331888 414860 497832 622290 663776 829720 891949 995664 1244580 1327552 1659440 1783898 1991328 2489160 2655104 2675847 3318880 3567796 3982656 4459745 4978320 5310208 5351694 6637760 7135592 7965312 8919490 9956640 10620416 10703388 13275520 13379235 14271184 15930624 17838980 19913280 21406776 26551040 26758470 28542368 31861248 35677960 39826560 42813552 53102080 53516940 57084736 71355920 79653120 85627104 107033880 114169472 142711840 159306240 171254208 214067760 228338944 285423680 342508416 428135520 456677888 570847360 685016832 856271040 1141694720 1370033664 1712542080 2283389440 3425084160 6850168320