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30193914450 = 2352752354983
BaseRepresentation
bin11100000111101100…
…101001001001010010
32212221021011202222210
4130013230221021102
5443314120230300
621512040212550
72116143016050
oct340754511122
985837152883
1030193914450
111189474a907
125a27a6a156
132b025cb48b
1416660c51d0
15bbab80050
hex707b29252

30193914450 has 96 divisors (see below), whose sum is σ = 85743369216. Its totient is φ = 6888144960.

The previous prime is 30193914437. The next prime is 30193914469. The reversal of 30193914450 is 5441939103.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 30193914399 and 30193914408.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 521659 + ... + 576641.

It is an arithmetic number, because the mean of its divisors is an integer number (893160096).

Almost surely, 230193914450 is an apocalyptic number.

30193914450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30193914450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42871684608).

30193914450 is an abundant number, since it is smaller than the sum of its proper divisors (55549454766).

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

30193914450 is a wasteful number, since it uses less digits than its factorization.

30193914450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55528 (or 55523 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 30193914450 in words is "thirty billion, one hundred ninety-three million, nine hundred fourteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 523 525 1046 1050 1569 2615 3138 3661 5230 7322 7845 10983 13075 15690 18305 21966 26150 36610 39225 54915 54983 78450 91525 109830 109966 164949 183050 274575 274915 329898 384881 549150 549830 769762 824745 1154643 1374575 1649490 1924405 2309286 2749150 3848810 4123725 5773215 8247450 9622025 11546430 19244050 28756109 28866075 57512218 57732150 86268327 143780545 172536654 201292763 287561090 402585526 431341635 603878289 718902725 862683270 1006463815 1207756578 1437805450 2012927630 2156708175 3019391445 4313416350 5032319075 6038782890 10064638150 15096957225 30193914450