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30833691616 = 2571374314251
BaseRepresentation
bin11100101101110101…
…001100101111100000
32221120212000211021101
4130231311030233200
51001121411112431
622055333004144
72141042024440
oct345565145740
987525024241
1030833691616
11120928a6972
125b86183654
132ba5013350
1416c7064120
15c06e08961
hex72dd4cbe0

30833691616 has 96 divisors (see below), whose sum is σ = 74818211328. Its totient is φ = 12180672000.

The previous prime is 30833691611. The next prime is 30833691649. The reversal of 30833691616 is 61619633803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30833691611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2156491 + ... + 2170741.

It is an arithmetic number, because the mean of its divisors is an integer number (779356368).

Almost surely, 230833691616 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 30833691616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37409105664).

30833691616 is an abundant number, since it is smaller than the sum of its proper divisors (43984519712).

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

30833691616 is a wasteful number, since it uses less digits than its factorization.

30833691616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15024 (or 15016 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 46.

The spelling of 30833691616 in words is "thirty billion, eight hundred thirty-three million, six hundred ninety-one thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 743 1456 1486 2912 2972 5201 5944 9659 10402 11888 14251 19318 20804 23776 28502 38636 41608 57004 67613 77272 83216 99757 114008 135226 154544 166432 185263 199514 228016 270452 309088 370526 399028 456032 540904 741052 798056 1081808 1296841 1482104 1596112 2163616 2593682 2964208 3192224 5187364 5928416 10374728 10588493 20749456 21176986 41498912 42353972 74119451 84707944 137650409 148238902 169415888 275300818 296477804 338831776 550601636 592955608 963552863 1101203272 1185911216 1927105726 2202406544 2371822432 3854211452 4404813088 7708422904 15416845808 30833691616