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30853146352 = 247319449659
BaseRepresentation
bin11100101110111111…
…011010011011110000
32221122012122020011011
4130232333122123300
51001141401140402
622101310000304
72141366263000
oct345677323360
987565566134
1030853146352
11120a2884566
125b907a6094
132ba9065522
1416c988a000
15c0899ced7
hex72efda6f0

30853146352 has 160 divisors (see below), whose sum is σ = 73656000000. Its totient is φ = 12479975424.

The previous prime is 30853146349. The next prime is 30853146353. The reversal of 30853146352 is 25364135803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30853146353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46817799 + ... + 46818457.

It is an arithmetic number, because the mean of its divisors is an integer number (460350000).

Almost surely, 230853146352 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 30853146352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36828000000).

30853146352 is an abundant number, since it is smaller than the sum of its proper divisors (42802853648).

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

30853146352 is a wasteful number, since it uses less digits than its factorization.

30853146352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 30853146352 in words is "thirty billion, eight hundred fifty-three million, one hundred forty-six thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 343 392 449 532 659 686 784 898 931 1064 1318 1372 1796 1862 2128 2636 2744 3143 3592 3724 4613 5272 5488 6286 6517 7184 7448 8531 9226 10544 12521 12572 13034 14896 17062 18452 22001 25042 25144 26068 32291 34124 36904 44002 50084 50288 52136 59717 64582 68248 73808 87647 88004 100168 104272 119434 129164 136496 154007 175294 176008 200336 226037 238868 258328 295891 308014 350588 352016 418019 452074 477736 516656 591782 613529 616028 701176 836038 904148 955472 1183564 1227058 1232056 1402352 1672076 1808296 2071237 2367128 2454116 2464112 2926133 3344152 3616592 4142474 4294703 4734256 4908232 5621929 5852266 6688304 8284948 8589406 9816464 11243858 11704532 14498659 16569896 17178812 22487716 23409064 28997318 33139792 34357624 39353503 44975432 46818128 57994636 68715248 78707006 89950864 101490613 115989272 157414012 202981226 231978544 275474521 314828024 405962452 550949042 629656048 811924904 1101898084 1623849808 1928321647 2203796168 3856643294 4407592336 7713286588 15426573176 30853146352