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27440600129028 = 2232877869143549
BaseRepresentation
bin1100011110101000000110…
…01110010001111000000100
310121011021222121022002210100
412033110003032101320010
512044041322113112103
6134210012045324100
75531342436421212
oct617240316217004
9117137877262710
1027440600129028
11881a547441619
1230b2209566630
131240839742488
146ac1bc801cb2
15328bd64ab5a3
hex18f503391e04

27440600129028 has 36 divisors (see below), whose sum is σ = 69442831357900. Its totient is φ = 9136436976576.

The previous prime is 27440600129023. The next prime is 27440600129051. The reversal of 27440600129028 is 82092100604472.

27440600129028 is a `hidden beast` number, since 2 + 7 + 4 + 4 + 0 + 600 + 12 + 9 + 0 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23829315614784 + 3611284514244 = 4881528^2 + 1900338^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×274406001290282 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27440600129023) 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 11 ways as a sum of consecutive naturals, for example, 434540203 + ... + 434603346.

Almost surely, 227440600129028 is an apocalyptic number.

It is an amenable number.

27440600129028 is an abundant number, since it is smaller than the sum of its proper divisors (42002231228872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27440600129028 is a wasteful number, since it uses less digits than its factorization.

27440600129028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869144436 (or 869144431 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 27440600129028 in words is "twenty-seven trillion, four hundred forty billion, six hundred million, one hundred twenty-nine thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 877 1754 2631 3508 5262 7893 10524 15786 31572 869143549 1738287098 2607430647 3476574196 5214861294 7822291941 10429722588 15644583882 31289167764 762238892473 1524477784946 2286716677419 3048955569892 4573433354838 6860150032257 9146866709676 13720300064514 27440600129028