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4643620046112 = 253232193147353
BaseRepresentation
bin100001110010010110101…
…0100101100010100100000
3121102220222212100200121210
41003210231110230110200
51102040113212433422
613513125525150120
7656330143064205
oct103445524542440
917386885320553
104643620046112
111530391503453
1262bb6ab5b340
13278b787b69c8
14120a7687bcac
1580bd053110c
hex4392d52c520

4643620046112 has 144 divisors (see below), whose sum is σ = 12749391694368. Its totient is φ = 1479776517120.

The previous prime is 4643620046071. The next prime is 4643620046113. The reversal of 4643620046112 is 2116400263464.

It is not an unprimeable number, because it can be changed into a prime (4643620046113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98040228 + ... + 98087580.

It is an arithmetic number, because the mean of its divisors is an integer number (88537442322).

Almost surely, 24643620046112 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 4643620046112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374695847184).

4643620046112 is an abundant number, since it is smaller than the sum of its proper divisors (8105771648256).

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

4643620046112 is a wasteful number, since it uses less digits than its factorization.

4643620046112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49343 (or 49312 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 4643620046112 in words is "four trillion, six hundred forty-three billion, six hundred twenty million, forty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 529 552 736 1058 1104 1587 1931 2116 2208 3174 3862 4232 5793 6348 7724 8464 11586 12696 15448 16928 23172 25392 30896 44413 46344 47353 50784 61792 88826 92688 94706 133239 142059 177652 185376 189412 266478 284118 355304 378824 532956 568236 710608 757648 1021499 1065912 1089119 1136472 1421216 1515296 2042998 2131824 2178238 2272944 3064497 3267357 4085996 4263648 4356476 4545888 6128994 6534714 8171992 8712952 12257988 13069428 16343984 17425904 24515976 25049737 26138856 32687968 34851808 49031952 50099474 52277712 75149211 91438643 98063904 100198948 104555424 150298422 182877286 200397896 274315929 300596844 365754572 400795792 548631858 601193688 731509144 801591584 1097263716 1202387376 1463018288 2103088789 2194527432 2404774752 2926036576 4206177578 4389054864 6309266367 8412355156 8778109728 12618532734 16824710312 25237065468 33649420624 48371042147 50474130936 67298841248 96742084294 100948261872 145113126441 193484168588 201896523744 290226252882 386968337176 580452505764 773936674352 1160905011528 1547873348704 2321810023056 4643620046112