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230154942528 = 26327367155537
BaseRepresentation
bin1101011001011001001…
…1011011100001000000
3211000001220010111001200
43112112103123201000
512232324131130103
6253422015101200
722425311506230
oct3262623334100
9730056114050
10230154942528
1189676512905
1238732511800
131891b823a34
14b1d4d3dcc0
155ec09a70a3
hex35964db840

230154942528 has 168 divisors, whose sum is σ = 755999292672. Its totient is φ = 65578954752.

The previous prime is 230154942517. The next prime is 230154942529. The reversal of 230154942528 is 825249451032.

230154942528 is a `hidden beast` number, since 2 + 30 + 1 + 5 + 4 + 94 + 2 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (230154942529) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1401976 + ... + 1557512.

Almost surely, 2230154942528 is an apocalyptic number.

230154942528 is a gapful number since it is divisible by the number (28) 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 230154942528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377999646336).

230154942528 is an abundant number, since it is smaller than the sum of its proper divisors (525844350144).

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

230154942528 is a wasteful number, since it uses less digits than its factorization.

230154942528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155929 (or 155916 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 230154942528 in words is "two hundred thirty billion, one hundred fifty-four million, nine hundred forty-two thousand, five hundred twenty-eight".