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33243134929 = 41244472
BaseRepresentation
bin11110111101011100…
…011111101111010001
310011210202211020010121
4132331130133233101
51021040220304204
623134403430241
72254536661504
oct367534375721
9104722736117
1033243134929
1113109979334
126539085381
13319a257354
14187506113b
15ce86e7b54
hex7bd71fbd1

33243134929 has 9 divisors (see below), whose sum is σ = 34081382811. Its totient is φ = 32425033680.

The previous prime is 33243134927. The next prime is 33243134989. The reversal of 33243134929 is 92943134233.

It is a happy number.

The square root of 33243134929 is 182327.

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., 1601840529 + 31641294400 = 40023^2 + 177880^2 .

It is not a de Polignac number, because 33243134929 - 21 = 33243134927 is a prime.

It is a super-2 number, since 2×332431349292 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33243134927) 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, 7473184 + ... + 7477630.

Almost surely, 233243134929 is an apocalyptic number.

33243134929 is the 182327-th square number.

33243134929 is the 91164-th centered octagonal number.

It is an amenable number.

33243134929 is a deficient number, since it is larger than the sum of its proper divisors (838247882).

33243134929 is an frugal number, since it uses more digits than its factorization.

33243134929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8976 (or 4488 counting only the distinct ones).

The product of its digits is 419904, while the sum is 43.

The spelling of 33243134929 in words is "thirty-three billion, two hundred forty-three million, one hundred thirty-four thousand, nine hundred twenty-nine".

Divisors: 1 41 1681 4447 182327 7475407 19775809 810808169 33243134929