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304991000064 = 293266187283
BaseRepresentation
bin1000111000000101110…
…00010101011000000000
31002011020100101002201100
410130002320111120000
514444110144000224
6352035543334400
731014650504052
oct4340270253000
91064210332640
10304991000064
11108389517543
124b138a51400
13229b6b58b9a
1410a93d3d8d2
157e00938ac9
hex4702e15600

304991000064 has 60 divisors (see below), whose sum is σ = 880224689916. Its totient is φ = 101663665152.

The previous prime is 304991000053. The next prime is 304991000099. The reversal of 304991000064 is 460000199403.

304991000064 is a `hidden beast` number, since 3 + 0 + 499 + 100 + 0 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 304990999992 and 304991000028.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33089034 + ... + 33098249.

Almost surely, 2304991000064 is an apocalyptic number.

It is an amenable number.

304991000064 is an abundant number, since it is smaller than the sum of its proper divisors (575233689852).

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

304991000064 is an equidigital number, since it uses as much as digits as its factorization.

304991000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66187307 (or 66187288 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 304991000064 its reverse (460000199403), we get a palindrome (764991199467).

The spelling of 304991000064 in words is "three hundred four billion, nine hundred ninety-one million, sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 66187283 132374566 198561849 264749132 397123698 529498264 595685547 794247396 1058996528 1191371094 1588494792 2117993056 2382742188 3176989584 4235986112 4765484376 6353979168 8471972224 9530968752 12707958336 16943944448 19061937504 25415916672 33887888896 38123875008 50831833344 76247750016 101663666688 152495500032 304991000064