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2163612263352 = 2334316723095437
BaseRepresentation
bin11111011111000001010…
…101110010001110111000
321122211122212011222201120
4133133001111302032320
5240422034214411402
64333541051345240
7312213220540221
oct37370125621670
97584585158646
102163612263352
11764645798961
122ab3a5452220
13129048cb5c17
1476a10026248
153b431b503bc
hex1f7c15723b8

2163612263352 has 128 divisors (see below), whose sum is σ = 5571400665600. Its totient is φ = 699781759488.

The previous prime is 2163612263347. The next prime is 2163612263377. The reversal of 2163612263352 is 2533622163612.

It is a super-2 number, since 2×21636122633522 (a number of 25 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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397939578 + ... + 397945014.

It is an arithmetic number, because the mean of its divisors is an integer number (43526567700).

Almost surely, 22163612263352 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 2163612263352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785700332800).

2163612263352 is an abundant number, since it is smaller than the sum of its proper divisors (3407788402248).

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

2163612263352 is a wasteful number, since it uses less digits than its factorization.

2163612263352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7965 (or 7961 counting only the distinct ones).

The product of its digits is 466560, while the sum is 42.

The spelling of 2163612263352 in words is "two trillion, one hundred sixty-three billion, six hundred twelve million, two hundred sixty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 167 172 258 334 344 501 516 668 1002 1032 1336 2004 2309 4008 4618 5437 6927 7181 9236 10874 13854 14362 16311 18472 21543 21748 27708 28724 32622 43086 43496 55416 57448 65244 86172 99287 130488 172344 198574 233791 297861 385603 397148 467582 595722 701373 771206 794296 907979 935164 1156809 1191444 1402746 1542412 1815958 1870328 2313618 2382888 2723937 2805492 3084824 3631916 4627236 5447874 5610984 7263832 9254472 10895748 12554033 16580929 21791496 25108066 33161858 37662099 39043097 49742787 50216132 66323716 75324198 78086194 99485574 100432264 117129291 132647432 150648396 156172388 198971148 234258582 301296792 312344776 397942296 468517164 539823419 937034328 1079646838 1619470257 2096523511 2159293676 3238940514 4193047022 4318587352 6289570533 6477881028 8386094044 12579141066 12955762056 16772188088 25158282132 50316564264 90150510973 180301021946 270451532919 360602043892 540903065838 721204087784 1081806131676 2163612263352