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11697071409 = 346121972
BaseRepresentation
bin10101110010011001…
…10010010100110001
31010012012002210110000
422321030302110301
5142423422241114
65212404500213
7562602316002
oct127114622461
933165083400
1011697071409
114a62767971
1223253aa669
13114547ca3a
147cd6c51a9
15486d83e09
hex2b9332531

11697071409 has 45 divisors (see below), whose sum is σ = 17855181201. Its totient is φ = 7631275680.

The previous prime is 11697071401. The next prime is 11697071413. The reversal of 11697071409 is 90417079611.

The square root of 11697071409 is 108153.

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

It can be written as a sum of positive squares in 4 ways, for example, as 17514225 + 11679557184 = 4185^2 + 108072^2 .

It is not a de Polignac number, because 11697071409 - 23 = 11697071401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11697071401) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 59375899 + ... + 59376095.

Almost surely, 211697071409 is an apocalyptic number.

11697071409 is the 108153-rd square number.

11697071409 is the 54077-th centered octagonal number.

It is an amenable number.

11697071409 is a deficient number, since it is larger than the sum of its proper divisors (6158109792).

11697071409 is an frugal number, since it uses more digits than its factorization.

11697071409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The spelling of 11697071409 in words is "eleven billion, six hundred ninety-seven million, seventy-one thousand, four hundred nine".

Divisors: 1 3 9 27 61 81 183 197 549 591 1647 1773 3721 4941 5319 11163 12017 15957 33489 36051 38809 100467 108153 116427 301401 324459 349281 733037 973377 1047843 2199111 2367349 3143529 6597333 7102047 19791999 21306141 59375997 63918423 144408289 191755269 433224867 1299674601 3899023803 11697071409