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41297080832 = 297212832
BaseRepresentation
bin100110011101011111…
…110111001000000000
310221121001202001220022
4212131133313020000
51134034023041312
630545511433012
72661244252400
oct463537671000
9127531661808
1041297080832
1116572142077
128006385768
133b81a07907
141dda96c800
15111a7ec172
hex99d7f7200

41297080832 has 90 divisors (see below), whose sum is σ = 96059967003. Its totient is φ = 17684954112.

The previous prime is 41297080831. The next prime is 41297080837. The reversal of 41297080832 is 23808079214.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

41297080832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 20648540416 + 20648540416 = 143696^2 + 143696^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=143696.

It is not an unprimeable number, because it can be changed into a prime (41297080831) 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, 32187263 + ... + 32188545.

Almost surely, 241297080832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41297080832

41297080832 is an abundant number, since it is smaller than the sum of its proper divisors (54762886171).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41297080832 is an frugal number, since it uses more digits than its factorization.

41297080832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2598 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 41297080832 in words is "forty-one billion, two hundred ninety-seven million, eighty thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1283 1568 1792 2566 3136 3584 5132 6272 8981 10264 12544 17962 20528 25088 35924 41056 62867 71848 82112 125734 143696 164224 251468 287392 328448 502936 574784 656896 1005872 1149568 1646089 2011744 2299136 3292178 4023488 4598272 6584356 8046976 11522623 13168712 16093952 23045246 26337424 32187904 46090492 52674848 80658361 92180984 105349696 161316722 184361968 210699392 322633444 368723936 421398784 645266888 737447872 842797568 1290533776 1474895744 2581067552 2949791488 5162135104 5899582976 10324270208 20648540416 41297080832