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473664662289 = 327213225212
BaseRepresentation
bin1101110010010001001…
…11010010101100010001
31200021121111121221110100
412321020213102230101
530230031123143124
61001333141323013
746135565125200
oct6711047225421
91607544557410
10473664662289
11172975398495
1277971406469
1335888085c00
1418cd579b237
15c4c3ae01c9
hex6e489d2b11

473664662289 has 81 divisors (see below), whose sum is σ = 862158856689. Its totient is φ = 249745991040.

The previous prime is 473664662279. The next prime is 473664662291. The reversal of 473664662289 is 982266466374.

The square root of 473664662289 is 688233.

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

473664662289 is a `hidden beast` number, since 4 + 7 + 366 + 46 + 6 + 228 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 393862932225 + 79801730064 = 627585^2 + 282492^2 .

It is not a de Polignac number, because 473664662289 - 213 = 473664654097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (473664662269) 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, 187886349 + ... + 187888869.

Almost surely, 2473664662289 is an apocalyptic number.

473664662289 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

473664662289 is the 688233-rd square number.

473664662289 is the 344117-th centered octagonal number.

It is an amenable number.

473664662289 is a deficient number, since it is larger than the sum of its proper divisors (388494194400).

473664662289 is an equidigital number, since it uses as much as digits as its factorization.

473664662289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5088 (or 2544 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 63.

The spelling of 473664662289 in words is "four hundred seventy-three billion, six hundred sixty-four million, six hundred sixty-two thousand, two hundred eighty-nine".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 169 273 441 507 637 819 1183 1521 1911 2521 3549 5733 7563 8281 10647 17647 22689 24843 32773 52941 74529 98319 123529 158823 229411 294957 370587 426049 688233 1111761 1278147 1605877 2064699 2982343 3834441 4817631 6355441 8947029 14452893 19066323 20876401 26841087 44488087 57198969 62629203 82620733 133464261 187887609 247862199 311416609 400392783 578345131 743586597 934249827 1074069529 1735035393 2802749481 3222208587 4048415917 5205106179 7518486703 9666625761 12145247751 22555460109 36435743253 52629406921 67666380327 157888220763 473664662289