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382280684832 = 2532364332
BaseRepresentation
bin1011001000000011011…
…01000101010100100000
31100112201210112220011200
411210001231011110200
522230402323403312
6451341201441200
736422162131014
oct5440155052440
91315653486150
10382280684832
11138140531682
1262109040200
132a083605077
1414706b5c544
159e25ed60dc
hex5901b45520

382280684832 has 54 divisors (see below), whose sum is σ = 1087140536937. Its totient is φ = 127423397376.

The previous prime is 382280684801. The next prime is 382280684839. The reversal of 382280684832 is 238486082283.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

382280684832 is a `hidden beast` number, since 3 + 8 + 22 + 80 + 68 + 483 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 313550721936 + 68729962896 = 559956^2 + 262164^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=437196.

It is a super-2 number, since 2×3822806848322 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (382280684839) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10474488 + ... + 10510920.

Almost surely, 2382280684832 is an apocalyptic number.

382280684832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

382280684832 is an abundant number, since it is smaller than the sum of its proper divisors (704859852105).

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

382280684832 is an frugal number, since it uses more digits than its factorization.

382280684832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72882 (or 36438 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 382280684832 in words is "three hundred eighty-two billion, two hundred eighty million, six hundred eighty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 36433 72866 109299 145732 218598 291464 327897 437196 582928 655794 874392 1165856 1311588 1748784 2623176 3497568 5246352 10492704 1327363489 2654726978 3982090467 5309453956 7964180934 10618907912 11946271401 15928361868 21237815824 23892542802 31856723736 42475631648 47785085604 63713447472 95570171208 127426894944 191140342416 382280684832