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382474382820 = 223521863291569
BaseRepresentation
bin1011001000011010011…
…11111110110111100100
31100120020022000202212020
411210031033332313210
522231301420222240
6451412321223140
736430033420125
oct5441517766744
91316208022766
10382474382820
1113822a8aa862
1262161a91ab0
132a0b4793a6a
141472478004c
159e37ee80d0
hex590d3fede4

382474382820 has 48 divisors (see below), whose sum is σ = 1070980928640. Its totient is φ = 101988153856.

The previous prime is 382474382753. The next prime is 382474382879. The reversal of 382474382820 is 28283474283.

It is a super-2 number, since 2×3824743828202 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1165996 + ... + 1457564.

It is an arithmetic number, because the mean of its divisors is an integer number (22312102680).

Almost surely, 2382474382820 is an apocalyptic number.

382474382820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

382474382820 is an abundant number, since it is smaller than the sum of its proper divisors (688506545820).

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

382474382820 is a wasteful number, since it uses less digits than its factorization.

382474382820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313444 (or 313442 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 51.

The spelling of 382474382820 in words is "three hundred eighty-two billion, four hundred seventy-four million, three hundred eighty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 21863 43726 65589 87452 109315 131178 218630 262356 291569 327945 437260 583138 655890 874707 1166276 1311780 1457845 1749414 2915690 3498828 4373535 5831380 8747070 17494140 6374573047 12749146094 19123719141 25498292188 31872865235 38247438282 63745730470 76494876564 95618595705 127491460940 191237191410 382474382820