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537249838041 = 32723753621241
BaseRepresentation
bin1111101000101101001…
…01011111001111011001
31220100201212100112202200
413310112211133033121
532300241424304131
61050450440320413
753546360163300
oct7642645371731
91810655315680
10537249838041
11197934589114
1288157a73109
133b87c502867
141c008461437
15de95e772e6
hex7d1695f3d9

537249838041 has 72 divisors (see below), whose sum is σ = 944618340744. Its totient is φ = 293066242560.

The previous prime is 537249838031. The next prime is 537249838061. The reversal of 537249838041 is 140838942735.

It is a happy number.

537249838041 is a `hidden beast` number, since 5 + 3 + 72 + 498 + 3 + 80 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 367817990400 + 169431847641 = 606480^2 + 411621^2 .

It is not a de Polignac number, because 537249838041 - 215 = 537249805273 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (537249838001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 554181 + ... + 1175421.

It is an arithmetic number, because the mean of its divisors is an integer number (13119699177).

Almost surely, 2537249838041 is an apocalyptic number.

It is an amenable number.

537249838041 is a deficient number, since it is larger than the sum of its proper divisors (407368502703).

537249838041 is a wasteful number, since it uses less digits than its factorization.

537249838041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621351 (or 621341 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 537249838041 in words is "five hundred thirty-seven billion, two hundred forty-nine million, eight hundred thirty-eight thousand, forty-one".

Divisors: 1 3 7 9 21 37 49 53 63 111 147 159 259 333 371 441 477 777 1113 1813 1961 2331 2597 3339 5439 5883 7791 13727 16317 17649 23373 41181 96089 123543 288267 621241 864801 1863723 4348687 5591169 13046061 22985917 30440809 32925773 39138183 68957751 91322427 98777319 160901419 206873253 230480411 273967281 296331957 482704257 691441233 1126309933 1218253601 1448112771 1613362877 2074323699 3378929799 3654760803 4840088631 8527775207 10136789397 10964282409 14520265893 25583325621 59694426449 76749976863 179083279347 537249838041