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30185568000 = 283353722331
BaseRepresentation
bin11100000111001100…
…110011011100000000
32212220200110201211000
4130013030303130000
5443310001134000
621511141252000
72116012044300
oct340714633400
985820421730
1030185568000
111188aa6a015
125a25104000
132b00968453
141664d51600
15bba082000
hex707333700

30185568000 has 1728 divisors, whose sum is σ = 139585904640. Its totient is φ = 6386688000.

The previous prime is 30185567983. The next prime is 30185568013. The reversal of 30185568000 is 86558103.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×301855680002 (a number of 22 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 973727985 + ... + 973728015.

It is an arithmetic number, because the mean of its divisors is an integer number (80778880).

Almost surely, 230185568000 is an apocalyptic number.

30185568000 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 30185568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69792952320).

30185568000 is an abundant number, since it is smaller than the sum of its proper divisors (109400336640).

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

30185568000 is a wasteful number, since it uses less digits than its factorization.

30185568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 30185568000 in words is "thirty billion, one hundred eighty-five million, five hundred sixty-eight thousand".