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471734075241 = 3211213216012
BaseRepresentation
bin1101101110101011000…
…10101011111101101001
31200002121221212221220100
412313111202223331221
530212102410401431
61000413414220013
746040003323422
oct6672542537551
91602557787810
10471734075241
11172074650900
1277512954609
133563b103100
1418b91210649
15c40e38e4e6
hex6dd58abf69

471734075241 has 81 divisors (see below), whose sum is σ = 811521622821. Its totient is φ = 263742336000.

The previous prime is 471734075201. The next prime is 471734075243. The reversal of 471734075241 is 142570437174.

The square root of 471734075241 is 686829.

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

471734075241 is a `hidden beast` number, since 471 + 73 + 4 + 0 + 75 + 2 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53895944025 + 417838131216 = 232155^2 + 646404^2 .

It is not a de Polignac number, because 471734075241 - 217 = 471733944169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (471734075243) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 294648841 + ... + 294650441.

Almost surely, 2471734075241 is an apocalyptic number.

471734075241 is the 686829-th square number.

471734075241 is the 343415-th centered octagonal number.

It is an amenable number.

471734075241 is a deficient number, since it is larger than the sum of its proper divisors (339787547580).

471734075241 is a wasteful number, since it uses less digits than its factorization.

471734075241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3256 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 471734075241 in words is "four hundred seventy-one billion, seven hundred thirty-four million, seventy-five thousand, two hundred forty-one".

Divisors: 1 3 9 11 13 33 39 99 117 121 143 169 363 429 507 1089 1287 1521 1573 1601 1859 4719 4803 5577 14157 14409 16731 17611 20449 20813 52833 61347 62439 158499 184041 187317 193721 228943 270569 581163 686829 811707 1743489 2060487 2435121 2518373 2563201 2976259 7555119 7689603 8928777 22665357 23068809 26786331 28195211 32738849 33321613 84585633 98216547 99964839 253756899 294649641 299894517 310147321 366537743 433180969 930441963 1099613229 1299542907 2791325889 3298839687 3898628721 4031915173 4764990659 12095745519 14294971977 36287236557 42884915931 52414897249 157244691747 471734075241