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30149373184 = 28723397193
BaseRepresentation
bin11100000101000010…
…101110110100000000
32212211011100211212021
4130011002232310000
5443221214420214
621503405411224
72115062305120
oct340502566400
985734324767
1030149373184
1111871598347
125a14b69b14
132ac63048b8
14166020cc80
15bb6cd2924
hex7050aed00

30149373184 has 72 divisors (see below), whose sum is σ = 68817228480. Its totient is φ = 12913840128.

The previous prime is 30149373179. The next prime is 30149373229. The reversal of 30149373184 is 48137394103.

It is a self number, because there is not a number n which added to its sum of digits gives 30149373184.

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 7 ways as a sum of consecutive naturals, for example, 4187892 + ... + 4195084.

It is an arithmetic number, because the mean of its divisors is an integer number (955794840).

Almost surely, 230149373184 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 30149373184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34408614240).

30149373184 is an abundant number, since it is smaller than the sum of its proper divisors (38667855296).

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

30149373184 is an equidigital number, since it uses as much as digits as its factorization.

30149373184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9555 (or 9541 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 30149373184 in words is "thirty billion, one hundred forty-nine million, three hundred seventy-three thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 2339 4678 7193 9356 14386 16373 18712 28772 32746 37424 50351 57544 65492 74848 100702 115088 130984 149696 201404 230176 261968 299392 402808 460352 523936 598784 805616 920704 1047872 1611232 1841408 2095744 3222464 4191488 6444928 12889856 16824427 33648854 67297708 117770989 134595416 235541978 269190832 471083956 538381664 942167912 1076763328 1884335824 2153526656 3768671648 4307053312 7537343296 15074686592 30149373184