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6255412124032 = 273110317388471
BaseRepresentation
bin101101100000111001110…
…0111100001100110000000
3211011000022102111210110201
41123001303213201212000
51304442041000432112
621145410251134544
71213636641514201
oct133016347414600
924130272453421
106255412124032
111aa19a607a585
12850410a44454
13364b62775436
14178a993015a8
15acab6eb4257
hex5b0739e1980

6255412124032 has 128 divisors (see below), whose sum is σ = 13064072785920. Its totient is φ = 2980065945600.

The previous prime is 6255412124009. The next prime is 6255412124033. The reversal of 6255412124032 is 2304212145526.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 6255412123982 and 6255412124000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6255412124033) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 70661557 + ... + 70750027.

It is an arithmetic number, because the mean of its divisors is an integer number (102063068640).

Almost surely, 26255412124032 is an apocalyptic number.

6255412124032 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6255412124032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6532036392960).

6255412124032 is an abundant number, since it is smaller than the sum of its proper divisors (6808660661888).

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

6255412124032 is a wasteful number, since it uses less digits than its factorization.

6255412124032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88792 (or 88780 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

Adding to 6255412124032 its reverse (2304212145526), we get a palindrome (8559624269558).

The spelling of 6255412124032 in words is "six trillion, two hundred fifty-five billion, four hundred twelve million, one hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 103 124 128 173 206 248 346 412 496 692 824 992 1384 1648 1984 2768 3193 3296 3968 5363 5536 6386 6592 10726 11072 12772 13184 17819 21452 22144 25544 35638 42904 51088 71276 85808 88471 102176 142552 171616 176942 204352 285104 343232 353884 408704 552389 570208 686464 707768 1104778 1140416 1415536 2209556 2280832 2742601 2831072 4419112 5485202 5662144 8838224 9112513 10970404 11324288 15305483 17676448 18225026 21940808 30610966 35352896 36450052 43881616 61221932 70705792 72900104 87763232 122443864 145800208 175526464 244887728 282487903 291600416 351052928 474469973 489775456 564975806 583200832 948939946 979550912 1129951612 1166401664 1576464749 1897879892 1959101824 2259903224 3152929498 3795759784 4519806448 6305858996 7591519568 9039612896 12611717992 15183039136 18079225792 25223435984 30366078272 36158451584 48870407219 50446871968 60732156544 97740814438 100893743936 195481628876 201787487872 390963257752 781926515504 1563853031008 3127706062016 6255412124032