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66029469444 = 223211323792
BaseRepresentation
bin111101011111101010…
…011011111100000100
320022102201002120220100
4331133222123330010
52040212021010234
650200012404100
74525162141551
oct753752337404
9208381076810
1066029469444
1126003a06764
1210969176630
1362c39735a3
1432a5573a28
151ab6c5c399
hexf5fa9bf04

66029469444 has 81 divisors (see below), whose sum is σ = 168843451413. Its totient is φ = 21757486464.

The previous prime is 66029469437. The next prime is 66029469449. The reversal of 66029469444 is 44496492066.

It is a happy number.

The square root of 66029469444 is 256962.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1163492100 + 64865977344 = 34110^2 + 254688^2 .

It is a super-2 number, since 2×660294694442 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66029469449) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 174220047 + ... + 174220425.

Almost surely, 266029469444 is an apocalyptic number.

66029469444 is the 256962-nd square number.

It is an amenable number.

66029469444 is an abundant number, since it is smaller than the sum of its proper divisors (102813981969).

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

66029469444 is a wasteful number, since it uses less digits than its factorization.

66029469444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 66029469444 in words is "sixty-six billion, twenty-nine million, four hundred sixty-nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 379 452 678 758 1017 1137 1356 1516 2034 2274 3411 4068 4548 6822 12769 13644 25538 38307 42827 51076 76614 85654 114921 128481 143641 153228 171308 229842 256962 287282 385443 430923 459684 513924 574564 770886 861846 1292769 1541772 1723692 2585538 4839451 5171076 9678902 14518353 16231433 19357804 29036706 32462866 43555059 48694299 58073412 64925732 87110118 97388598 146082897 174220236 194777196 292165794 584331588 1834151929 3668303858 5502455787 7336607716 11004911574 16507367361 22009823148 33014734722 66029469444