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63126132069 = 37111343488861
BaseRepresentation
bin111010110010100111…
…000101010101100101
320000221100221202202110
4322302213011111211
52013240242211234
644555540031233
74363216161240
oct726247052545
9200840852673
1063126132069
1124854068390
1210298992519
135c50304790
1430abb30257
151996e0e1e9
hexeb29c5565

63126132069 has 64 divisors (see below), whose sum is σ = 115637372928. Its totient is φ = 29566252800.

The previous prime is 63126132067. The next prime is 63126132151. The reversal of 63126132069 is 96023162136.

It is not a de Polignac number, because 63126132069 - 21 = 63126132067 is a prime.

It is a super-2 number, since 2×631261320692 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63126132067) 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 63 ways as a sum of consecutive naturals, for example, 115302 + ... + 373559.

It is an arithmetic number, because the mean of its divisors is an integer number (1806833952).

Almost surely, 263126132069 is an apocalyptic number.

It is an amenable number.

63126132069 is a deficient number, since it is larger than the sum of its proper divisors (52511240859).

63126132069 is a wasteful number, since it uses less digits than its factorization.

63126132069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488938.

The product of its (nonzero) digits is 69984, while the sum is 39.

The spelling of 63126132069 in words is "sixty-three billion, one hundred twenty-six million, one hundred thirty-two thousand, sixty-nine".

Divisors: 1 3 7 11 13 21 33 39 43 77 91 129 143 231 273 301 429 473 559 903 1001 1419 1677 3003 3311 3913 6149 9933 11739 18447 43043 129129 488861 1466583 3422027 5377471 6355193 10266081 16132413 19065579 21021023 37642297 44486351 63063069 69907123 112926891 133459053 147147161 209721369 231231253 273273299 441441483 489349861 693693759 819819897 1468049583 1618618771 1912913093 3006006289 4855856313 5738739279 9018018867 21042044023 63126132069