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129829697 = 1773233449
BaseRepresentation
bin1111011110100…
…00101101000001
3100001022000212022
413233100231001
5231214022242
620514411225
73134351144
oct757205501
9301260768
10129829697
1167315a78
1237590b15
1320b8910a
141335805b
15b5e80d2
hex7bd0b41

129829697 has 16 divisors (see below), whose sum is σ = 140259600. Its totient is φ = 119734272.

The previous prime is 129829691. The next prime is 129829727. The reversal of 129829697 is 796928921.

It can be written as a sum of positive squares in 8 ways, for example, as 802816 + 129026881 = 896^2 + 11359^2 .

It is a cyclic number.

It is not a de Polignac number, because 129829697 - 24 = 129829681 is a prime.

It is a super-2 number, since 2×1298296972 = 33711500446223618, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129829691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288929 + ... + 289377.

It is an arithmetic number, because the mean of its divisors is an integer number (8766225).

Almost surely, 2129829697 is an apocalyptic number.

129829697 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

129829697 is a deficient number, since it is larger than the sum of its proper divisors (10429903).

129829697 is a wasteful number, since it uses less digits than its factorization.

129829697 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772.

The product of its digits is 979776, while the sum is 53.

The square root of 129829697 is about 11394.2835228899. The cubic root of 129829697 is about 506.3583948762.

The spelling of 129829697 in words is "one hundred twenty-nine million, eight hundred twenty-nine thousand, six hundred ninety-seven".

Divisors: 1 17 73 233 449 1241 3961 7633 17009 32777 104617 289153 557209 1778489 7637041 129829697