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30246053376 = 293711255733
BaseRepresentation
bin11100001010110011…
…100010011000000000
32220001220021201011010
4130022303202120000
5443420442202001
621521141520520
72120345132430
oct341263423000
986056251133
1030246053376
1111911121630
125a41413140
132b10355306
14166cdb82c0
15bc052d8d6
hex70ace2600

30246053376 has 160 divisors (see below), whose sum is σ = 100460498688. Its totient is φ = 7856087040.

The previous prime is 30246053329. The next prime is 30246053389. The reversal of 30246053376 is 67335064203.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 9595 + ... + 246138.

Almost surely, 230246053376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30246053376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50230249344).

30246053376 is an abundant number, since it is smaller than the sum of its proper divisors (70214445312).

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

30246053376 is a wasteful number, since it uses less digits than its factorization.

30246053376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255772 (or 255756 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 39.

The spelling of 30246053376 in words is "thirty billion, two hundred forty-six million, fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 512 528 616 672 704 768 896 924 1056 1232 1344 1408 1536 1792 1848 2112 2464 2688 2816 3584 3696 4224 4928 5376 5632 7392 8448 9856 10752 14784 16896 19712 29568 39424 59136 118272 255733 511466 767199 1022932 1534398 1790131 2045864 2813063 3068796 3580262 4091728 5370393 5626126 6137592 7160524 8183456 8439189 10740786 11252252 12275184 14321048 16366912 16878378 19691441 21481572 22504504 24550368 28642096 32733824 33756756 39382882 42963144 45009008 49100736 57284192 59074323 65467648 67513512 78765764 85926288 90018016 98201472 114568384 118148646 130935296 135027024 157531528 171852576 180036032 196402944 229136768 236297292 270054048 315063056 343705152 360072064 392805888 458273536 472594584 540108096 630126112 687410304 720144128 916547072 945189168 1080216192 1260252224 1374820608 1440288256 1890378336 2160432384 2520504448 2749641216 3780756672 4320864768 5041008896 7561513344 10082017792 15123026688 30246053376