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427696498782 = 23374789270493
BaseRepresentation
bin1100011100101001011…
…00101010100001011110
31111212221220102021202000
412032110230222201132
524001410300430112
6524251524143130
742620501153610
oct6162454524136
91455856367660
10427696498782
11155426583913
126aa82837aa6
1331440703767
14169b470adb0
15b1d31ad7dc
hex6394b2a85e

427696498782 has 128 divisors (see below), whose sum is σ = 1121792716800. Its totient is φ = 118254774528.

The previous prime is 427696498777. The next prime is 427696498787. The reversal of 427696498782 is 287894696724.

427696498782 is a `hidden beast` number, since 4 + 2 + 7 + 69 + 6 + 498 + 78 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (427696498777) and next prime (427696498787).

It is a self number, because there is not a number n which added to its sum of digits gives 427696498782.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427696498787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1445928 + ... + 1716420.

It is an arithmetic number, because the mean of its divisors is an integer number (8764005600).

Almost surely, 2427696498782 is an apocalyptic number.

427696498782 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 427696498782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560896358400).

427696498782 is an abundant number, since it is smaller than the sum of its proper divisors (694096218018).

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

427696498782 is a wasteful number, since it uses less digits than its factorization.

427696498782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270647 (or 270641 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 427696498782 in words is "four hundred twenty-seven billion, six hundred ninety-six million, four hundred ninety-eight thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 54 63 89 94 126 141 178 189 267 282 329 378 423 534 623 658 801 846 987 1246 1269 1602 1869 1974 2403 2538 2961 3738 4183 4806 5607 5922 8366 8883 11214 12549 16821 17766 25098 29281 33642 37647 58562 75294 87843 112941 175686 225882 263529 270493 527058 540986 790587 811479 1581174 1622958 1893451 2434437 3786902 4868874 5680353 7303311 11360706 12713171 14606622 17041059 24073877 25426342 34082118 38139513 48147754 51123177 72221631 76279026 88992197 102246354 114418539 144443262 168517139 177984394 216664893 228837078 266976591 337034278 343255617 433329786 505551417 533953182 649994679 686511234 800929773 1011102834 1131472219 1299989358 1516654251 1601859546 2262944438 2402789319 3033308502 3394416657 4549962753 4805578638 6788833314 7920305533 9099925506 10183249971 15840611066 20366499942 23760916599 30549749913 47521833198 61099499826 71282749797 142565499594 213848249391 427696498782