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30805774296 = 23311232572
BaseRepresentation
bin11100101100001010…
…101100111111011000
32221111220111110220120
4130230022230333120
51001042234234141
622052454353240
72140252522023
oct345412547730
987456443816
1030805774296
1112079069200
125b7895b820
132b9c2ba31b
1416c34781ba
15c04741c66
hex72c2acfd8

30805774296 has 72 divisors (see below), whose sum is σ = 84678229860. Its totient is φ = 9332216960.

The previous prime is 30805774271. The next prime is 30805774297. The reversal of 30805774296 is 69247750803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30805774297) 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 17 ways as a sum of consecutive naturals, for example, 9456700 + ... + 9459956.

Almost surely, 230805774296 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 30805774296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42339114930).

30805774296 is an abundant number, since it is smaller than the sum of its proper divisors (53872455564).

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

30805774296 is an equidigital number, since it uses as much as digits as its factorization.

30805774296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6545 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 30805774296 in words is "thirty billion, eight hundred five million, seven hundred seventy-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 3257 6514 9771 13028 19542 26056 35827 39084 71654 78168 107481 143308 214962 286616 394097 429924 788194 859848 1182291 1576388 2364582 3152776 4729164 9458328 10608049 21216098 31824147 42432196 63648294 84864392 116688539 127296588 233377078 254593176 350065617 466754156 700131234 933508312 1283573929 1400262468 2567147858 2800524936 3850721787 5134295716 7701443574 10268591432 15402887148 30805774296