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42197137191 = 3411210939499
BaseRepresentation
bin100111010011001001…
…010011011100100111
311000220210100200010000
4213103021103130213
51142404431342231
631215103032343
73022453514406
oct472311233447
9130823320100
1042197137191
1116994202800
12821789b6b3
133c96320b41
14208430163d
15116e83a6e6
hex9d3253727

42197137191 has 60 divisors (see below), whose sum is σ = 69924085000. Its totient is φ = 25338756960.

The previous prime is 42197137127. The next prime is 42197137207. The reversal of 42197137191 is 19173179124.

It is a happy number.

42197137191 is a `hidden beast` number, since 4 + 2 + 197 + 1 + 371 + 91 = 666.

It is not a de Polignac number, because 42197137191 - 26 = 42197137127 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42197137111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1048560 + ... + 1088058.

Almost surely, 242197137191 is an apocalyptic number.

42197137191 is a deficient number, since it is larger than the sum of its proper divisors (27726947809).

42197137191 is a wasteful number, since it uses less digits than its factorization.

42197137191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39642 (or 39622 counting only the distinct ones).

The product of its digits is 95256, while the sum is 45.

The spelling of 42197137191 in words is "forty-two billion, one hundred ninety-seven million, one hundred thirty-seven thousand, one hundred ninety-one".

Divisors: 1 3 9 11 27 33 81 99 109 121 297 327 363 891 981 1089 1199 2943 3267 3597 8829 9801 10791 13189 32373 39499 39567 97119 118497 118701 355491 356103 434489 1066473 1068309 1303467 3199419 3910401 4305391 4779379 11731203 12916173 14338137 35193609 38748519 43014411 47359301 116245557 129043233 142077903 348736671 387129699 426233709 520952311 1278701127 1562856933 3836103381 4688570799 14065712397 42197137191