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30029780224 = 284123911971
BaseRepresentation
bin11011111101111010…
…100001010100000000
32212111211022220011101
4123331322201110000
5443000110431344
621443454224144
72112110630443
oct337572412400
985454286141
1030029780224
1111810034394
1259a0ab5054
132aa75c1032
14164c39b65a
15bab55c9d4
hex6fdea1500

30029780224 has 72 divisors (see below), whose sum is σ = 61666335360. Its totient is φ = 14586163200.

The previous prime is 30029780213. The next prime is 30029780233. The reversal of 30029780224 is 42208792003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2502559 + ... + 2514529.

It is an arithmetic number, because the mean of its divisors is an integer number (856476880).

Almost surely, 230029780224 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 30029780224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30833167680).

30029780224 is an abundant number, since it is smaller than the sum of its proper divisors (31636555136).

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

30029780224 is a wasteful number, since it uses less digits than its factorization.

30029780224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12267 (or 12253 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 30029780224 in words is "thirty billion, twenty-nine million, seven hundred eighty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 239 256 328 478 656 956 1312 1912 2624 3824 5248 7648 9799 10496 11971 15296 19598 23942 30592 39196 47884 61184 78392 95768 156784 191536 313568 383072 490811 627136 766144 981622 1254272 1532288 1963244 2508544 2861069 3064576 3926488 5722138 7852976 11444276 15705952 22888552 31411904 45777104 62823808 91554208 117303829 125647616 183108416 234607658 366216832 469215316 732433664 938430632 1876861264 3753722528 7507445056 15014890112 30029780224