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205251141551324 = 2211219117223190403
BaseRepresentation
bin101110101010110011000001…
…011000011100010011011100
3222220201211001221212212010112
4232222303001120130103130
5203400313314214120244
62004311023413025152
761142622425121461
oct5652630130342334
9886654057785115
10205251141551324
115a44357a579500
121b02b0680251b8
138a6b13aa8068b
1438982cb655668
1518ae0be91c39e
hexbaacc161c4dc

205251141551324 has 72 divisors (see below), whose sum is σ = 415596882395520. Its totient is φ = 88384440846240.

The previous prime is 205251141551321. The next prime is 205251141551359. The reversal of 205251141551324 is 423155141152502.

It is a super-2 number, since 2×2052511415513242 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205251141551321) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1077887507 + ... + 1078077909.

It is an arithmetic number, because the mean of its divisors is an integer number (5772178922160).

Almost surely, 2205251141551324 is an apocalyptic number.

It is an amenable number.

205251141551324 is an abundant number, since it is smaller than the sum of its proper divisors (210345740844196).

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

205251141551324 is a wasteful number, since it uses less digits than its factorization.

205251141551324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307671 (or 307658 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 41.

The spelling of 205251141551324 in words is "two hundred five trillion, two hundred fifty-one billion, one hundred forty-one million, five hundred fifty-one thousand, three hundred twenty-four".

Divisors: 1 2 4 11 19 22 38 44 76 121 209 242 418 484 836 2299 4598 9196 117223 190403 234446 380806 468892 761612 1289453 2094433 2227237 2578906 3617657 4188866 4454474 5157812 7235314 8377732 8908948 14183983 14470628 23038763 24499607 28367966 39794227 46077526 48999214 56735932 79588454 92155052 97998428 159176908 269495677 437736497 538991354 875472994 1077982708 1750945988 22319610869 44639221738 89278443476 245515719559 424072606511 491031439118 848145213022 982062878236 1696290426044 2700672915149 4664798671621 5401345830298 9329597343242 10802691660596 18659194686484 51312785387831 102625570775662 205251141551324