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129759141268969 = 2324952692
BaseRepresentation
bin11101100000001111100111…
…100001011000110111101001
3122000102212000122211000020221
4131200033213201120313221
5114001433210131101334
61135550305423250041
736221534325236602
oct3540174741306751
9560385018730227
10129759141268969
11383885a7483723
1212678235a49921
1357533083093b4
142408539856da9
1510004ee0638b4
hex7603e7858de9

129759141268969 has 9 divisors (see below), whose sum is σ = 135646408329943. Its totient is φ = 124117188868552.

The previous prime is 129759141268963. The next prime is 129759141268987. The reversal of 129759141268969 is 969862141957921.

The square root of 129759141268969 is 11391187.

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., 2341551825369 + 127417589443600 = 1530213^2 + 11287940^2 .

It is not a de Polignac number, because 129759141268969 - 221 = 129759139171817 is a prime.

It is a super-2 number, since 2×1297591412689692 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129759141268963) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 261749667 + ... + 262244935.

Almost surely, 2129759141268969 is an apocalyptic number.

129759141268969 is the 11391187-th square number.

129759141268969 is the 5695594-th centered octagonal number.

It is an amenable number.

129759141268969 is a deficient number, since it is larger than the sum of its proper divisors (5887267060974).

129759141268969 is an frugal number, since it uses more digits than its factorization.

129759141268969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990584 (or 495292 counting only the distinct ones).

The product of its digits is 1058158080, while the sum is 79.

The spelling of 129759141268969 in words is "one hundred twenty-nine trillion, seven hundred fifty-nine billion, one hundred forty-one million, two hundred sixty-eight thousand, nine hundred sixty-nine".

Divisors: 1 23 529 495269 11391187 261997301 245291382361 5641701794303 129759141268969