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10643429889 = 3638212
BaseRepresentation
bin10011110100110010…
…11101101000000001
31000110202111021000000
421322121131220001
5133244204224024
64520045350213
7524516442561
oct117231355001
930422437000
1010643429889
114571a36454
122090568369
1310080b0b11
1472d7b2da1
15424608cc9
hex27a65da01

10643429889 has 21 divisors (see below), whose sum is σ = 15962022259. Its totient is φ = 7093762920.

The previous prime is 10643429869. The next prime is 10643429897. The reversal of 10643429889 is 98892434601.

The square root of 10643429889 is 103167.

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

10643429889 is a `hidden beast` number, since 106 + 434 + 29 + 8 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9558386289 + 1085043600 = 97767^2 + 32940^2 .

It is not a de Polignac number, because 10643429889 - 213 = 10643421697 is a prime.

It is a super-2 number, since 2×106434298892 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10643429869) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2783599 + ... + 2787419.

Almost surely, 210643429889 is an apocalyptic number.

10643429889 is the 103167-th square number.

10643429889 is the 51584-th centered octagonal number.

It is an amenable number.

10643429889 is a deficient number, since it is larger than the sum of its proper divisors (5318592370).

10643429889 is an frugal number, since it uses more digits than its factorization.

10643429889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7660 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 10643429889 in words is "ten billion, six hundred forty-three million, four hundred twenty-nine thousand, eight hundred eighty-nine".

Divisors: 1 3 9 27 81 243 729 3821 11463 34389 103167 309501 928503 2785509 14600041 43800123 131400369 394201107 1182603321 3547809963 10643429889