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4135261636 = 22112372792
BaseRepresentation
bin1111011001111011…
…0001010111000100
3101200012020001112101
43312132301113010
531432111333021
61522201001444
7204322100242
oct36636612704
911605201471
104135261636
11183227a300
12974a83284
1350b96009c
142b32c3792
15193092a91
hexf67b15c4

4135261636 has 81 divisors (see below), whose sum is σ = 8279985357. Its totient is φ = 1805712480.

The previous prime is 4135261597. The next prime is 4135261649. The reversal of 4135261636 is 6361625314.

The square root of 4135261636 is 64306.

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., 3700288900 + 434972736 = 60830^2 + 20856^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4135261595 and 4135261604.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52345045 + ... + 52345123.

Almost surely, 24135261636 is an apocalyptic number.

4135261636 is the 64306-th square number.

It is an amenable number.

4135261636 is an abundant number, since it is smaller than the sum of its proper divisors (4144723721).

4135261636 is a wasteful number, since it uses less digits than its factorization.

4135261636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 129 counting only the distinct ones).

The product of its digits is 77760, while the sum is 37.

The cubic root of 4135261636 is about 1605.0959445496.

The spelling of 4135261636 in words is "four billion, one hundred thirty-five million, two hundred sixty-one thousand, six hundred thirty-six".

Divisors: 1 2 4 11 22 37 44 74 79 121 148 158 242 316 407 484 814 869 1369 1628 1738 2738 2923 3476 4477 5476 5846 6241 8954 9559 11692 12482 15059 17908 19118 24964 30118 32153 38236 60236 64306 68651 108151 128612 137302 165649 216302 230917 274604 331298 353683 432604 461834 662596 707366 755161 923668 1189661 1414732 1510322 2379322 2540087 3020644 4758644 5080174 8543929 10160348 13086271 17087858 26172542 27940957 34175716 52345084 55881914 93983219 111763828 187966438 375932876 1033815409 2067630818 4135261636