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42054037588381 = 7213109605677957
BaseRepresentation
bin10011000111111011101111…
…11110001100100110011101
312111220022211012000202220211
421203331313332030212131
521003003132110312011
6225235205210212421
711600206153343200
oct1143756776144635
9174808735022824
1042054037588381
1112444020965905
124872430124111
131a608a92211b0
14a555d79d5937
154cddc6c8bb21
hex263f77f8c99d

42054037588381 has 24 divisors (see below), whose sum is σ = 53166411153240. Its totient is φ = 32968262500992.

The previous prime is 42054037588369. The next prime is 42054037588417. The reversal of 42054037588381 is 18388573045024.

It can be written as a sum of positive squares in 4 ways, for example, as 16635712116100 + 25418325472281 = 4078690^2 + 5041659^2 .

It is not a de Polignac number, because 42054037588381 - 215 = 42054037555613 is a prime.

It is a super-2 number, since 2×420540375883812 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42054037588781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302769546 + ... + 302908411.

It is an arithmetic number, because the mean of its divisors is an integer number (2215267131385).

Almost surely, 242054037588381 is an apocalyptic number.

It is an amenable number.

42054037588381 is a deficient number, since it is larger than the sum of its proper divisors (11112373564859).

42054037588381 is a wasteful number, since it uses less digits than its factorization.

42054037588381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605678093 (or 605678086 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 58.

The spelling of 42054037588381 in words is "forty-two trillion, fifty-four billion, thirty-seven million, five hundred eighty-eight thousand, three hundred eighty-one".

Divisors: 1 7 13 49 91 109 637 763 1417 5341 9919 69433 605677957 4239745699 7873813441 29678219893 55116694087 66018897313 385816858609 462132281191 858245665069 3234925968337 6007719655483 42054037588381