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138761822736243 = 3374386411975949
BaseRepresentation
bin11111100011010000000001…
…001001110000111101110011
3200012022111112000021111012000
4133203100001021300331303
5121141433203110024433
61211042145031105043
741141132216143050
oct3743200111607563
9605274460244160
10138761822736243
114023961646a903
1213690b79812183
135c572508941c5
14263a17270a027
1511097a7d64113
hex7e3401270f73

138761822736243 has 64 divisors (see below), whose sum is σ = 240432331392000. Its totient is φ = 77439457105920.

The previous prime is 138761822736223. The next prime is 138761822736253. The reversal of 138761822736243 is 342637228167831.

138761822736243 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 6 + 1 + 8 + 227 + 362 + 43 = 666.

It is not a de Polignac number, because 138761822736243 - 25 = 138761822736211 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (138761822736223) 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 63 ways as a sum of consecutive naturals, for example, 69237433 + ... + 71213381.

It is an arithmetic number, because the mean of its divisors is an integer number (3756755178000).

Almost surely, 2138761822736243 is an apocalyptic number.

138761822736243 is a deficient number, since it is larger than the sum of its proper divisors (101670508655757).

138761822736243 is a wasteful number, since it uses less digits than its factorization.

138761822736243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984649 (or 1984643 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 63.

The spelling of 138761822736243 in words is "one hundred thirty-eight trillion, seven hundred sixty-one billion, eight hundred twenty-two million, seven hundred thirty-six thousand, two hundred forty-three".

Divisors: 1 3 7 9 21 27 43 63 129 189 301 387 903 1161 2709 8127 8641 25923 60487 77769 181461 233307 371563 544383 1114689 1633149 1975949 2600941 3344067 5927847 7802823 10032201 13831643 17783541 23408469 41494929 53350623 70225407 84965807 124484787 254897421 373454361 594760649 764692263 1784281947 2294076789 5352845841 16058537523 17074175309 51222525927 119519227163 153667577781 358557681489 461002733343 734189538287 1075673044467 2202568614861 3227019133401 5139326768009 6607705844583 15417980304027 19823117533749 46253940912081 138761822736243