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4514422400856 = 2332157773516643
BaseRepresentation
bin100000110110001100010…
…0010110010011101011000
3120222120111212012021210100
41001230120202302131120
51042431014113311411
613333521431215400
7644104411161414
oct101543042623530
916876455167710
104514422400856
111490612833315
1260ab12b17560
13269928c0aac4
141186dbb91d44
157c66cd5c456
hex41b188b2758

4514422400856 has 96 divisors (see below), whose sum is σ = 12320378469360. Its totient is φ = 1493285504256.

The previous prime is 4514422400849. The next prime is 4514422400863. The reversal of 4514422400856 is 6580042244154.

4514422400856 is a `hidden beast` number, since 4 + 5 + 144 + 22 + 400 + 85 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (4514422400849) and next prime (4514422400863).

It is a super-2 number, since 2×45144224008562 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8479671 + ... + 8996313.

Almost surely, 24514422400856 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 4514422400856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6160189234680).

4514422400856 is an abundant number, since it is smaller than the sum of its proper divisors (7805956068504).

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

4514422400856 is a wasteful number, since it uses less digits than its factorization.

4514422400856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517585 (or 517578 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 4514422400856 in words is "four trillion, five hundred fourteen billion, four hundred twenty-two million, four hundred thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 471 628 773 942 1256 1413 1546 1884 2319 2826 3092 3768 4638 5652 6184 6957 9276 11304 13914 18552 27828 55656 121361 242722 364083 485444 516643 728166 970888 1033286 1092249 1456332 1549929 2066572 2184498 2912664 3099858 4133144 4368996 4649787 6199716 8737992 9299574 12399432 18599148 37198296 81112951 162225902 243338853 324451804 399365039 486677706 648903608 730016559 798730078 973355412 1198095117 1460033118 1597460156 1946710824 2396190234 2920066236 3194920312 3594285351 4792380468 5840132472 7188570702 9584760936 14377141404 28754282808 62700311123 125400622246 188100933369 250801244492 376201866738 501602488984 564302800107 752403733476 1128605600214 1504807466952 2257211200428 4514422400856