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2135641369 = 37212492
BaseRepresentation
bin111111101001011…
…0100110100011001
312111211120211012111
41333102310310121
513333211010434
6551530112321
7103631436451
oct17722646431
95454524174
102135641369
119a6571a74
124b727b6a1
132805b9824
141638c6d61
15c7757964
hex7f4b4d19

2135641369 has 9 divisors (see below), whose sum is σ = 2196680157. Its totient is φ = 2076257664.

The previous prime is 2135641357. The next prime is 2135641373. The reversal of 2135641369 is 9631465312.

The square root of 2135641369 is 46213.

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 270438025 + 1865203344 = 16445^2 + 43188^2 .

It is not a de Polignac number, because 2135641369 - 225 = 2102086937 is a prime.

It is a super-2 number, since 2×21356413692 = 9121928113968388322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2135641309) 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, 1709257 + ... + 1710505.

It is an arithmetic number, because the mean of its divisors is an integer number (244075573).

Almost surely, 22135641369 is an apocalyptic number.

2135641369 is the 46213-rd square number.

2135641369 is the 23107-th centered octagonal number.

It is an amenable number.

2135641369 is a deficient number, since it is larger than the sum of its proper divisors (61038788).

2135641369 is an frugal number, since it uses more digits than its factorization.

2135641369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572 (or 1286 counting only the distinct ones).

The product of its digits is 116640, while the sum is 40.

The cubic root of 2135641369 is about 1287.7832588064.

The spelling of 2135641369 in words is "two billion, one hundred thirty-five million, six hundred forty-one thousand, three hundred sixty-nine".

Divisors: 1 37 1249 1369 46213 1560001 1709881 57720037 2135641369