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427217230482 = 237151223457661
BaseRepresentation
bin1100011011110000010…
…00011001101010010010
31111211201111120221020020
412031320020121222102
523444420102333412
6524132203524310
742602561354130
oct6157010315222
91454644527206
10427217230482
111551aaa97509
126a96a229696
1331395329b53
141696abd0750
15b1a608d18c
hex6378219a92

427217230482 has 128 divisors (see below), whose sum is σ = 991028871168. Its totient is φ = 120263616000.

The previous prime is 427217230481. The next prime is 427217230483. The reversal of 427217230482 is 284032712724.

427217230482 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (427217230481) and next prime (427217230483).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (427217230481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 646319232 + ... + 646319892.

It is an arithmetic number, because the mean of its divisors is an integer number (7742413056).

Almost surely, 2427217230482 is an apocalyptic number.

427217230482 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

427217230482 is an abundant number, since it is smaller than the sum of its proper divisors (563811640686).

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

427217230482 is a wasteful number, since it uses less digits than its factorization.

427217230482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504.

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 427217230482 in words is "four hundred twenty-seven billion, two hundred seventeen million, two hundred thirty thousand, four hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 42 151 223 302 446 453 457 661 669 906 914 1057 1322 1338 1371 1561 1983 2114 2742 3122 3171 3199 3966 4627 4683 6342 6398 9254 9366 9597 13881 19194 27762 33673 67346 69007 99811 101019 101911 138014 147403 199622 202038 203822 207021 235711 294806 299433 302077 305733 414042 442209 471422 483049 598866 604154 611466 698677 707133 713377 884418 906231 966098 1031821 1397354 1414266 1426754 1449147 1812462 2063642 2096031 2114539 2140131 2898294 3095463 4192062 4229078 4280262 6190926 6343617 12687234 15388561 22257853 30777122 44515706 45613627 46165683 66773559 67363171 91227254 92331366 107719927 133547118 134726342 136840881 155804971 202089513 215439854 273681762 311609942 319295389 323159781 404179026 467414913 471542197 638590778 646319562 934829826 943084394 957886167 1414626591 1915772334 2829253182 10171838821 20343677642 30515516463 61031032926 71202871747 142405743494 213608615241 427217230482