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542366102197 = 4161212972741
BaseRepresentation
bin1111110010001111000…
…10011111001010110101
31220211221102111200202201
413321013202133022311
532341231210232242
61053054243504501
754120223542313
oct7710742371265
91824842450681
10542366102197
1119a01a5860a7
1289145388131
133c1b647aaba
141c371b490b3
15e1951e74b7
hex7e4789f2b5

542366102197 has 24 divisors (see below), whose sum is σ = 565493704776. Its totient is φ = 519872256000.

The previous prime is 542366102189. The next prime is 542366102219. The reversal of 542366102197 is 791201663245.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 393328411281 + 149037690916 = 627159^2 + 386054^2 .

It is not a de Polignac number, because 542366102197 - 23 = 542366102189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542366102497) 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, 197870247 + ... + 197872987.

It is an arithmetic number, because the mean of its divisors is an integer number (23562237699).

Almost surely, 2542366102197 is an apocalyptic number.

It is an amenable number.

542366102197 is a deficient number, since it is larger than the sum of its proper divisors (23127602579).

542366102197 is a wasteful number, since it uses less digits than its factorization.

542366102197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4201 (or 4140 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 542366102197 in words is "five hundred forty-two billion, three hundred sixty-six million, one hundred two thousand, one hundred ninety-seven".

Divisors: 1 41 61 1297 2501 2741 3721 53177 79117 112381 152561 167201 3243797 3555077 4826137 6855241 10199261 145758157 197871617 216859697 418169701 8891247577 13228441517 542366102197