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1066542464 = 271317371019
BaseRepresentation
bin111111100100100…
…010010110000000
32202022212222012202
4333210202112000
54141013324324
6253455412332
735300314151
oct7744422600
92668788182
101066542464
114a8043159
122592240a8
1313cc68020
14a190d928
15639778ae
hex3f922580

1066542464 has 128 divisors (see below), whose sum is σ = 2490717600. Its totient is φ = 450330624.

The previous prime is 1066542461. The next prime is 1066542473. The reversal of 1066542464 is 4642456601.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10665424642 = 2275025655030382592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066542461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1046147 + ... + 1047165.

Almost surely, 21066542464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066542464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245358800).

1066542464 is an abundant number, since it is smaller than the sum of its proper divisors (1424175136).

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

1066542464 is a wasteful number, since it uses less digits than its factorization.

1066542464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The square root of 1066542464 is about 32657.9617245167. The cubic root of 1066542464 is about 1021.7062509542.

The spelling of 1066542464 in words is "one billion, sixty-six million, five hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 37 52 64 68 74 104 128 136 148 208 221 272 296 416 442 481 544 592 629 832 884 962 1019 1088 1184 1258 1664 1768 1924 2038 2176 2368 2516 3536 3848 4076 4736 5032 7072 7696 8152 8177 10064 13247 14144 15392 16304 16354 17323 20128 26494 28288 30784 32608 32708 34646 37703 40256 52988 61568 65216 65416 69292 75406 80512 105976 130432 130832 138584 150812 211952 225199 261664 277168 301624 423904 450398 490139 523328 554336 603248 640951 847808 900796 980278 1046656 1108672 1206496 1281902 1695616 1801592 1960556 2217344 2412992 2563804 3603184 3921112 4825984 5127608 7206368 7842224 8332363 10255216 14412736 15684448 16664726 20510432 28825472 31368896 33329452 41020864 62737792 66658904 82041728 133317808 266635616 533271232 1066542464