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3483575780168 = 2311711318814831
BaseRepresentation
bin110010101100010101010…
…011000000001101001000
3110100000201101102011200102
4302230111103000031020
5424033330344431133
611224155502424532
7506452153365551
oct62542523001510
913300641364612
103483575780168
111123415790780
12483182592148
131c36660530b3
14c086aabb328
15609384d67e8
hex32b154c0348

3483575780168 has 128 divisors (see below), whose sum is σ = 7290787553280. Its totient is φ = 1547145600000.

The previous prime is 3483575780161. The next prime is 3483575780207. The reversal of 3483575780168 is 8610875753843.

It is not an unprimeable number, because it can be changed into a prime (3483575780161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 721085513 + ... + 721090343.

It is an arithmetic number, because the mean of its divisors is an integer number (56959277760).

Almost surely, 23483575780168 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 3483575780168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645393776640).

3483575780168 is an abundant number, since it is smaller than the sum of its proper divisors (3807211773112).

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

3483575780168 is a wasteful number, since it uses less digits than its factorization.

3483575780168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5931 (or 5927 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 65.

The spelling of 3483575780168 in words is "three trillion, four hundred eighty-three billion, five hundred seventy-five million, seven hundred eighty thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 71 88 131 142 262 284 524 568 781 881 1048 1441 1562 1762 2882 3124 3524 4831 5764 6248 7048 9301 9662 9691 11528 18602 19324 19382 37204 38648 38764 53141 62551 74408 77528 102311 106282 115411 125102 204622 212564 230822 250204 343001 409244 425128 461644 500408 632861 686002 688061 818488 923288 1265722 1269521 1372004 1376122 2531444 2539042 2744008 2752244 3773011 4256111 5062888 5078084 5504488 6961471 7546022 8194181 8512222 10156168 13922942 15092044 16388362 17024444 27845884 30184088 32776724 34048888 44933131 46817221 55691768 65553448 89866262 90135991 93634442 179732524 180271982 187268884 302183881 359465048 360543964 374537768 494264441 557550541 604367762 721087928 988528882 1115101082 1208735524 1977057764 2230202164 2417471048 3324022691 3954115528 4460404328 6133055951 6648045382 12266111902 13296090764 24532223804 26592181528 39586088411 49064447608 79172176822 158344353644 316688707288 435446972521 870893945042 1741787890084 3483575780168