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66932416369 = 7213228432
BaseRepresentation
bin111110010101011110…
…111001111101110001
320101202122011001020001
4332111132321331301
52044034144310434
650425345550001
74556435103100
oct762536717561
9211678131201
1066932416369
1126427671095
1210b7b645301
136408a5c400
14334d45a037
151b1b16c114
hexf957b9f71

66932416369 has 27 divisors (see below), whose sum is σ = 84339777483. Its totient is φ = 52938888912.

The previous prime is 66932416351. The next prime is 66932416373. The reversal of 66932416369 is 96361423966.

The square root of 66932416369 is 258713.

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., 9901245025 + 57031171344 = 99505^2 + 238812^2 .

It is not a de Polignac number, because 66932416369 - 27 = 66932416241 is a prime.

It is a super-2 number, since 2×669324163692 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66932416379) 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, 23541462 + ... + 23544304.

Almost surely, 266932416369 is an apocalyptic number.

66932416369 is the 258713-rd square number.

66932416369 is the 129357-th centered octagonal number.

It is an amenable number.

66932416369 is a deficient number, since it is larger than the sum of its proper divisors (17407361114).

66932416369 is an frugal number, since it uses more digits than its factorization.

66932416369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5726 (or 2863 counting only the distinct ones).

The product of its digits is 7558272, while the sum is 55.

The spelling of 66932416369 in words is "sixty-six billion, nine hundred thirty-two million, four hundred sixteen thousand, three hundred sixty-nine".

Divisors: 1 7 13 49 91 169 637 1183 2843 8281 19901 36959 139307 258713 480467 1810991 3363269 8082649 23542883 56578543 105074437 396049801 735521059 1365967681 5148647413 9561773767 66932416369