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235355010000 = 24354112924593
BaseRepresentation
bin1101101100110001000…
…0000111001111010000
3211111111021222021121020
43123030100013033100
512324001340310000
6300042014355440
723001213401625
oct3331420071720
9744437867536
10235355010000
11908a4849530
1239743abbb80
1319269c61536
14b56980034c
1561c727cba0
hex36cc4073d0

235355010000 has 400 divisors, whose sum is σ = 857441280960. Its totient is φ = 55086080000.

The previous prime is 235355009969. The next prime is 235355010013. The reversal of 235355010000 is 10553532.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9557704 + ... + 9582296.

Almost surely, 2235355010000 is an apocalyptic number.

235355010000 is a gapful number since it is divisible by the number (20) 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 235355010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428720640480).

235355010000 is an abundant number, since it is smaller than the sum of its proper divisors (622086270960).

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

235355010000 is a wasteful number, since it uses less digits than its factorization.

235355010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24664 (or 24643 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

Adding to 235355010000 its reverse (10553532), we get a palindrome (235365563532).

The spelling of 235355010000 in words is "two hundred thirty-five billion, three hundred fifty-five million, ten thousand".