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2641232055 = 35741159113
BaseRepresentation
bin1001110101101110…
…0000000010110111
320211001221111020110
42131123200002313
520402123411210
61114030434103
7122311050000
oct23533400267
96731844213
102641232055
1111359a7810
12618662933
1333127b507
141b0ad61a7
15106d27420
hex9d6e00b7

2641232055 has 160 divisors (see below), whose sum is σ = 5517745920. Its totient is φ = 1069501440.

The previous prime is 2641232039. The next prime is 2641232063. The reversal of 2641232055 is 5502321462.

2641232055 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2641232055 - 24 = 2641232039 is a prime.

It is a super-2 number, since 2×26412320552 = 13952213536719046050, which 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 159 ways as a sum of consecutive naturals, for example, 23373679 + ... + 23373791.

It is an arithmetic number, because the mean of its divisors is an integer number (34485912).

Almost surely, 22641232055 is an apocalyptic number.

2641232055 is an abundant number, since it is smaller than the sum of its proper divisors (2876513865).

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

2641232055 is a wasteful number, since it uses less digits than its factorization.

2641232055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 2641232055 is about 51392.9183351170. The cubic root of 2641232055 is about 1382.2996131076.

The spelling of 2641232055 in words is "two billion, six hundred forty-one million, two hundred thirty-two thousand, fifty-five".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 59 77 105 113 147 165 177 231 245 295 339 343 385 413 539 565 649 735 791 885 1029 1155 1239 1243 1617 1695 1715 1947 2065 2373 2401 2695 2891 3245 3729 3773 3955 4543 5145 5537 6195 6215 6667 7203 8085 8673 8701 9735 11319 11865 12005 13629 14455 16611 18645 18865 20001 20237 22715 26103 26411 27685 31801 33335 36015 38759 43365 43505 46669 56595 60711 60907 68145 73337 79233 83055 95403 100005 101185 116277 130515 132055 140007 141659 159005 182721 193795 220011 222607 233345 271313 303555 304535 326683 366685 396165 424977 426349 477015 513359 581385 667821 700035 708295 813939 913605 980049 1100055 1113035 1279047 1356565 1540077 1558249 1633415 2124885 2131745 2286781 2566795 2984443 3339105 3593513 4069695 4674747 4900245 6395235 6860343 7700385 7791245 8953329 10780539 11433905 14922215 16007467 17967565 23373735 25154591 34301715 44766645 48022401 53902695 75463773 80037335 125772955 176082137 240112005 377318865 528246411 880410685 2641232055