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38043256952328 = 23329487148375683
BaseRepresentation
bin10001010011001101000101…
…10100010001011000001000
311222200220021222200000111220
420221212202310101120020
514441300042234433303
6212524455253522040
711004351241421205
oct1051464264213010
9158626258600456
1038043256952328
1111138066844871
124325055943320
13182c604aa5194
149574369a8cac
1545e8d4624053
hex2299a2d11608

38043256952328 has 128 divisors (see below), whose sum is σ = 98657545190400. Its totient is φ = 12210265057536.

The previous prime is 38043256952273. The next prime is 38043256952329. The reversal of 38043256952328 is 82325965234083.

It is a super-3 number, since 3×380432569523283 (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (38043256952329) 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 31 ways as a sum of consecutive naturals, for example, 502627975 + ... + 502703657.

It is an arithmetic number, because the mean of its divisors is an integer number (770762071800).

Almost surely, 238043256952328 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 38043256952328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49328772595200).

38043256952328 is an abundant number, since it is smaller than the sum of its proper divisors (60614288238072).

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

38043256952328 is a wasteful number, since it uses less digits than its factorization.

38043256952328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77691 (or 77687 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 60.

The spelling of 38043256952328 in words is "thirty-eight trillion, forty-three billion, two hundred fifty-six million, nine hundred fifty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 487 696 974 1461 1483 1948 2922 2966 3896 4449 5844 5932 8898 11688 11864 14123 17796 28246 35592 42369 43007 56492 75683 84738 86014 112984 129021 151366 169476 172028 227049 258042 302732 338952 344056 454098 516084 605464 722221 908196 1032168 1444442 1816392 2166663 2194807 2888884 4333326 4389614 5777768 6584421 8666652 8779228 13168842 17333304 17558456 20944409 26337684 36857621 41888818 52675368 62833227 73715242 83777636 110572863 112237889 125666454 147430484 167555272 221145726 224475778 251332908 294860968 336713667 442291452 448951556 502665816 673427334 884582904 897903112 1068871009 1346854668 2137742018 2693709336 3206613027 3254898781 4275484036 6413226054 6509797562 8550968072 9764696343 12826452108 13019595124 19529392686 25652904216 26039190248 39058785372 54659851943 78117570744 109319703886 163979555829 218639407772 327959111658 437278815544 655918223316 1311836446632 1585135706347 3170271412694 4755407119041 6340542825388 9510814238082 12681085650776 19021628476164 38043256952328