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3483781863320 = 2351129401680857
BaseRepresentation
bin110010101100100001100…
…101001001011110011000
3110100001020202012021121202
4302230201211021132120
5424034241124111240
611224232143453332
7506460235150223
oct62544145113630
913301222167552
103483781863320
111123511049030
1248321b5b7248
131c369995a1a5
14c088a2045ba
156094b643315
hex32b21949798

3483781863320 has 128 divisors (see below), whose sum is σ = 8868039278400. Its totient is φ = 1220093952000.

The previous prime is 3483781863301. The next prime is 3483781863371. The reversal of 3483781863320 is 233681873843.

It is a super-2 number, since 2×34837818633202 (a number of 26 digits) contains 22 as substring.

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, 4776332 + ... + 5457188.

Almost surely, 23483781863320 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 3483781863320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4434019639200).

3483781863320 is an abundant number, since it is smaller than the sum of its proper divisors (5384257415080).

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

3483781863320 is a wasteful number, since it uses less digits than its factorization.

3483781863320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681309 (or 681305 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 56.

The spelling of 3483781863320 in words is "three trillion, four hundred eighty-three billion, seven hundred eighty-one million, eight hundred sixty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 401 440 580 638 802 1160 1276 1595 1604 2005 2552 3190 3208 4010 4411 6380 8020 8822 11629 12760 16040 17644 22055 23258 35288 44110 46516 58145 88220 93032 116290 127919 176440 232580 255838 465160 511676 639595 680857 1023352 1279190 1361714 2558380 2723428 3404285 5116760 5446856 6808570 7489427 13617140 14978854 19744853 27234280 29957708 37447135 39489706 59915416 74894270 78979412 98724265 149788540 157958824 197448530 217193383 273023657 299577080 394897060 434386766 546047314 789794120 868773532 1085966915 1092094628 1365118285 1737547064 2171933830 2184189256 2730236570 3003260227 4343867660 5460473140 6006520454 7917686053 8687735320 10920946280 12013040908 15016301135 15835372106 24026081816 30032602270 31670744212 39588430265 60065204540 63341488424 79176860530 87094546583 120130409080 158353721060 174189093166 316707442120 348378186332 435472732915 696756372664 870945465830 1741890931660 3483781863320