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531672344826100 = 225217276733239753
BaseRepresentation
bin111100011100011011001110…
…1010000000001000011110100
32120201111101020212002211110121
41320320312131100001003310
51024141404430233413400
65122434523042301324
7216663026225130412
oct17070663520010364
92521441225084417
10531672344826100
11144452a7aa91995
124b7697b4657844
1319a88643bb1b7a
1495411162c62b2
15417004019521a
hex1e38d9d4010f4

531672344826100 has 108 divisors (see below), whose sum is σ = 1225608625222884. Its totient is φ = 200155557048320.

The previous prime is 531672344826079. The next prime is 531672344826149. The reversal of 531672344826100 is 1628443276135.

It can be written as a sum of positive squares in 18 ways, for example, as 156781350967696 + 374890993858404 = 12521236^2 + 19362102^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2217463824 + ... + 2217703576.

It is an arithmetic number, because the mean of its divisors is an integer number (11348228011323).

Almost surely, 2531672344826100 is an apocalyptic number.

531672344826100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

531672344826100 is an abundant number, since it is smaller than the sum of its proper divisors (693936280396784).

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

531672344826100 is a wasteful number, since it uses less digits than its factorization.

531672344826100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316534 (or 316510 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 531672344826100 in words is "five hundred thirty-one trillion, six hundred seventy-two billion, three hundred forty-four million, eight hundred twenty-six thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 289 340 425 578 850 1156 1445 1700 2890 5780 7225 14450 28900 76733 153466 239753 306932 383665 479506 767330 959012 1198765 1304461 1534660 1918325 2397530 2608922 3836650 4075801 4795060 5217844 5993825 6522305 7673300 8151602 11987650 13044610 16303204 20379005 22175837 23975300 26089220 32611525 40758010 44351674 65223050 69288617 81516020 88703348 101895025 110879185 130446100 138577234 203790050 221758370 277154468 346443085 407580100 443516740 554395925 692886170 1108791850 1385772340 1732215425 2217583700 3464430850 6928861700 18396966949 36793933898 73587867796 91984834745 183969669490 312748438133 367939338980 459924173725 625496876266 919848347450 1250993752532 1563742190665 1839696694900 3127484381330 5316723448261 6254968762660 7818710953325 10633446896522 15637421906650 21266893793044 26583617241305 31274843813300 53167234482610 106334468965220 132918086206525 265836172413050 531672344826100