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30466212480 = 273551121619
BaseRepresentation
bin11100010111111011…
…011000001010000000
32220122020112221200000
4130113323120022000
5444343322244410
621555044400000
72125660350624
oct342773301200
986566487600
1030466212480
1111a14423400
125aa30a6000
132b46b4a282
141690327184
15bd4a1adc0
hex717ed8280

30466212480 has 576 divisors, whose sum is σ = 119993983200. Its totient is φ = 7381186560.

The previous prime is 30466212437. The next prime is 30466212487. The reversal of 30466212480 is 8421266403.

30466212480 is a `hidden beast` number, since 3 + 0 + 4 + 6 + 621 + 24 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30466212487) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18817111 + ... + 18818729.

Almost surely, 230466212480 is an apocalyptic number.

30466212480 is a gapful number since it is divisible by the number (30) 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 30466212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59996991600).

30466212480 is an abundant number, since it is smaller than the sum of its proper divisors (89527770720).

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

30466212480 is a wasteful number, since it uses less digits than its factorization.

30466212480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 30466212480 its reverse (8421266403), we get a palindrome (38887478883).

The spelling of 30466212480 in words is "thirty billion, four hundred sixty-six million, two hundred twelve thousand, four hundred eighty".