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230596640768 = 215134312589
BaseRepresentation
bin1101011011000010100…
…0011000000000000000
3211001012200021002010202
43112300220120000000
512234230220001033
6253533514144332
722442254051214
oct3266050300000
9731180232122
10230596640768
118988287927a
12388364220a8
131898c1a4b40
14b23787a944
155ee96558e8
hex35b0a18000

230596640768 has 128 divisors (see below), whose sum is σ = 508252760400. Its totient is φ = 103945863168.

The previous prime is 230596640731. The next prime is 230596640797. The reversal of 230596640768 is 867046695032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18311018 + ... + 18323606.

Almost surely, 2230596640768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230596640768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254126380200).

230596640768 is an abundant number, since it is smaller than the sum of its proper divisors (277656119632).

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

230596640768 is an equidigital number, since it uses as much as digits as its factorization.

230596640768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12675 (or 12647 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 56.

The spelling of 230596640768 in words is "two hundred thirty billion, five hundred ninety-six million, six hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 128 172 208 256 344 416 512 559 688 832 1024 1118 1376 1664 2048 2236 2752 3328 4096 4472 5504 6656 8192 8944 11008 12589 13312 16384 17888 22016 25178 26624 32768 35776 44032 50356 53248 71552 88064 100712 106496 143104 163657 176128 201424 212992 286208 327314 352256 402848 425984 541327 572416 654628 704512 805696 1082654 1144832 1309256 1409024 1611392 2165308 2289664 2618512 3222784 4330616 4579328 5237024 6445568 7037251 8661232 9158656 10474048 12891136 14074502 17322464 18317312 20948096 25782272 28149004 34644928 41896192 51564544 56298008 69289856 83792384 103129088 112596016 138579712 167584768 206258176 225192032 277159424 335169536 412516352 450384064 554318848 670339072 900768128 1108637696 1340678144 1801536256 2217275392 2681356288 3603072512 4434550784 5362712576 7206145024 8869101568 14412290048 17738203136 28824580096 57649160192 115298320384 230596640768