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30332424806640 = 243251115112534647
BaseRepresentation
bin1101110010110010100010…
…11001111110000011110000
310222101202021211121121222200
412321121101121332003300
512433431301222303030
6144302305032303200
76250305522542535
oct671312131760360
9128352254547880
1030332424806640
119734a00047510
12349a763841b00
1313c0448ac5a78
1476c1509b2d8c
15379038dd7d60
hex1b965167e0f0

30332424806640 has 240 divisors, whose sum is σ = 111200563708416. Its totient is φ = 7348445683200.

The previous prime is 30332424806539. The next prime is 30332424806641. The reversal of 30332424806640 is 4660842423303.

It is a happy number.

30332424806640 is a `hidden beast` number, since 3 + 0 + 3 + 32 + 42 + 480 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30332424806641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10699797 + ... + 13234443.

Almost surely, 230332424806640 is an apocalyptic number.

30332424806640 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 30332424806640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55600281854208).

30332424806640 is an abundant number, since it is smaller than the sum of its proper divisors (80868138901776).

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

30332424806640 is a wasteful number, since it uses less digits than its factorization.

30332424806640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536188 (or 2536179 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

The spelling of 30332424806640 in words is "thirty trillion, three hundred thirty-two billion, four hundred twenty-four million, eight hundred six thousand, six hundred forty".