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35276728041 = 344125092
BaseRepresentation
bin100000110110101010…
…000010011011101001
310101001111101110110000
4200312222002123221
51034221320244131
624112250413213
72356122145422
oct406652023351
9111044343400
1035276728041
1113a6287a9a5
126a06131209
133432663c99
1419c9182649
15db6ee3ce6
hex836a826e9

35276728041 has 45 divisors (see below), whose sum is σ = 54120310453. Its totient is φ = 22899136320.

The previous prime is 35276727971. The next prime is 35276728051. The reversal of 35276728041 is 14082767253.

The square root of 35276728041 is 187821.

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

35276728041 is a `hidden beast` number, since 3 + 527 + 6 + 7 + 2 + 80 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1765764441 + 33510963600 = 42021^2 + 183060^2 .

It is not a de Polignac number, because 35276728041 - 29 = 35276727529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35276728051) 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, 69305695 + ... + 69306203.

Almost surely, 235276728041 is an apocalyptic number.

35276728041 is the 187821-st square number.

35276728041 is the 93911-st centered octagonal number.

It is an amenable number.

35276728041 is a deficient number, since it is larger than the sum of its proper divisors (18843582412).

35276728041 is an frugal number, since it uses more digits than its factorization.

35276728041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 35276728041 in words is "thirty-five billion, two hundred seventy-six million, seven hundred twenty-eight thousand, forty-one".

Divisors: 1 3 9 27 41 81 123 369 509 1107 1527 1681 3321 4581 5043 13743 15129 20869 41229 45387 62607 136161 187821 259081 563463 777243 855629 1690389 2331729 2566887 6995187 7700661 10622321 20985561 23101983 31866963 69305949 95600889 286802667 435515161 860408001 1306545483 3919636449 11758909347 35276728041