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6466893889 = 292472592
BaseRepresentation
bin1100000010111010…
…01111100001000001
3121200200121020200111
412001131033201001
5101221011101024
62545411551321
7316153456021
oct60135174101
917620536614
106466893889
112819436105
1213058bb541
137c0a2c141
14454c27a81
1527cb11a94
hex18174f841

6466893889 has 27 divisors (see below), whose sum is σ = 6961064227. Its totient is φ = 6007471568.

The previous prime is 6466893887. The next prime is 6466893949. The reversal of 6466893889 is 9883986646.

It is a happy number.

The square root of 6466893889 is 80417.

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., 3391082289 + 3075811600 = 58233^2 + 55460^2 .

It is not a de Polignac number, because 6466893889 - 21 = 6466893887 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6466893887) 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, 109608342 + ... + 109608400.

Almost surely, 26466893889 is an apocalyptic number.

6466893889 is the 80417-th square number.

6466893889 is the 40209-th centered octagonal number.

It is an amenable number.

6466893889 is a deficient number, since it is larger than the sum of its proper divisors (494170338).

6466893889 is an frugal number, since it uses more digits than its factorization.

6466893889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 135 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 67.

The cubic root of 6466893889 is about 1863.0817498608.

The spelling of 6466893889 in words is "six billion, four hundred sixty-six million, eight hundred ninety-three thousand, eight hundred eighty-nine".

Divisors: 1 29 47 59 841 1363 1711 2209 2773 3481 39527 49619 64061 80417 100949 130331 163607 1857769 2332093 2927521 3779599 4744603 7689529 109608371 137593487 222996341 6466893889