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30690103248 = 24327199111759
BaseRepresentation
bin11100100101010001…
…011100111111010000
32221012211211210001200
4130211101130333100
51000323131300443
622033203231200
72134346400450
oct344521347720
987184753050
1030690103248
11120198438a2
125b46078500
132b8134a90c
1416b1d67d60
15be94e3dd3
hex72545cfd0

30690103248 has 240 divisors, whose sum is σ = 103498137600. Its totient is φ = 8293259520.

The previous prime is 30690103237. The next prime is 30690103253. The reversal of 30690103248 is 84230109603.

30690103248 is a `hidden beast` number, since 306 + 9 + 0 + 103 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 17446593 + ... + 17448351.

It is an arithmetic number, because the mean of its divisors is an integer number (431242240).

Almost surely, 230690103248 is an apocalyptic number.

30690103248 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30690103248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51749068800).

30690103248 is an abundant number, since it is smaller than the sum of its proper divisors (72808034352).

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

30690103248 is a wasteful number, since it uses less digits than its factorization.

30690103248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2710 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 30690103248 in words is "thirty billion, six hundred ninety million, one hundred three thousand, two hundred forty-eight".