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427923239310 = 232575813116849
BaseRepresentation
bin1100011101000100011…
…01100111000110001110
31111220112201001220021100
412032202031213012032
524002341322124220
6524330224043530
742626223342660
oct6164215470616
91456481056240
10427923239310
11155532570386
126ab267635a6
1331478691258
14169d6890530
15b1e804ad90
hex63a236718e

427923239310 has 96 divisors (see below), whose sum is σ = 1271772964800. Its totient is φ = 97793362944.

The previous prime is 427923239297. The next prime is 427923239323. The reversal of 427923239310 is 13932329724.

427923239310 is a `hidden beast` number, since 4 + 2 + 7 + 9 + 2 + 323 + 9 + 310 = 666.

It is an interprime number because it is at equal distance from previous prime (427923239297) and next prime (427923239323).

It is a super-2 number, since 2×4279232393102 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3603766 + ... + 3720614.

It is an arithmetic number, because the mean of its divisors is an integer number (13247635050).

Almost surely, 2427923239310 is an apocalyptic number.

427923239310 is an abundant number, since it is smaller than the sum of its proper divisors (843849725490).

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

427923239310 is a wasteful number, since it uses less digits than its factorization.

427923239310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122682 (or 122679 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 427923239310 in words is "four hundred twenty-seven billion, nine hundred twenty-three million, two hundred thirty-nine thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 5813 11626 17439 29065 34878 40691 52317 58130 81382 87195 104634 116849 122073 174390 203455 233698 244146 261585 350547 366219 406910 523170 584245 610365 701094 732438 817943 1051641 1168490 1220730 1635886 1752735 1831095 2103282 2453829 3505470 3662190 4089715 4907658 5258205 7361487 8179430 10516410 12269145 14722974 24538290 36807435 73614870 679243237 1358486474 2037729711 3396216185 4075459422 4754702659 6113189133 6792432370 9509405318 10188648555 12226378266 14264107977 20377297110 23773513295 28528215954 30565945665 42792323931 47547026590 61131891330 71320539885 85584647862 142641079770 213961619655 427923239310