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54132015105 = 32571098715641
BaseRepresentation
bin110010011010100001…
…010000000000000001
312011201112221021202100
4302122201100000001
51341330243440410
640511244541013
73624304352010
oct623241200001
9164645837670
1054132015105
1120a59125173
12a5a8851769
135148b3418c
14289740aa77
15161c4e58c0
hexc9a850001

54132015105 has 48 divisors (see below), whose sum is σ = 107249560704. Its totient is φ = 24742229760.

The previous prime is 54132015103. The next prime is 54132015107. The reversal of 54132015105 is 50151023145.

54132015105 is a `hidden beast` number, since 541 + 3 + 2 + 0 + 15 + 105 = 666.

It is an interprime number because it is at equal distance from previous prime (54132015103) and next prime (54132015107).

It is not a de Polignac number, because 54132015105 - 21 = 54132015103 is a prime.

It is a super-2 number, since 2×541320151052 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54132015103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3453085 + ... + 3468725.

It is an arithmetic number, because the mean of its divisors is an integer number (2234365848).

Almost surely, 254132015105 is an apocalyptic number.

It is an amenable number.

54132015105 is a deficient number, since it is larger than the sum of its proper divisors (53117545599).

54132015105 is a wasteful number, since it uses less digits than its factorization.

54132015105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26646 (or 26643 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 54132015105 in words is "fifty-four billion, one hundred thirty-two million, fifteen thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 10987 15641 32961 46923 54935 76909 78205 98883 109487 140769 164805 230727 234615 328461 384545 494415 547435 692181 703845 985383 1153635 1642305 3460905 4926915 171847667 515543001 859238335 1202933669 1546629003 2577715005 3608801007 6014668345 7733145015 10826403021 18044005035 54132015105