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230753267568 = 24322237185889
BaseRepresentation
bin1101011011100111110…
…1110110111101110000
3211001121120222112201100
43112321331312331300
512240040314030233
6254001231204400
722446165261135
oct3267175667560
9731546875640
10230753267568
118995322730a
123887a976700
13189b5784115
14b2505ac58c
156008293813
hex35b9f76f70

230753267568 has 60 divisors (see below), whose sum is σ = 648684662080. Its totient is φ = 76572822528.

The previous prime is 230753267567. The next prime is 230753267587. The reversal of 230753267568 is 865762357032.

It is a happy number.

230753267568 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 53 + 26 + 7 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230753267567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3560833 + ... + 3625056.

Almost surely, 2230753267568 is an apocalyptic number.

It is an amenable number.

230753267568 is an abundant number, since it is smaller than the sum of its proper divisors (417931394512).

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

230753267568 is a wasteful number, since it uses less digits than its factorization.

230753267568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7186126 (or 7186117 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 230753267568 in words is "two hundred thirty billion, seven hundred fifty-three million, two hundred sixty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 223 446 669 892 1338 1784 2007 2676 3568 4014 5352 8028 10704 16056 32112 7185889 14371778 21557667 28743556 43115334 57487112 64673001 86230668 114974224 129346002 172461336 258692004 344922672 517384008 1034768016 1602453247 3204906494 4807359741 6409812988 9614719482 12819625976 14422079223 19229438964 25639251952 28844158446 38458877928 57688316892 76917755856 115376633784 230753267568