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38430671738536 = 23711367289758679
BaseRepresentation
bin10001011110011110101101…
…00010011001011010101000
312001001221021120221021202101
420233033112202121122220
520014122003431113121
6213422450141143144
711044344604651630
oct1057172642313250
9161057246837671
1038430671738536
11112773a1346830
12438815625aab4
131859cc5c5c34c
1496c0a95356c0
15469a0b200491
hex22f3d68996a8

38430671738536 has 128 divisors (see below), whose sum is σ = 90115354828800. Its totient is φ = 14926781905920.

The previous prime is 38430671738513. The next prime is 38430671738561. The reversal of 38430671738536 is 63583717603483.

It is a happy number.

38430671738536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654901245 + ... + 654959923.

It is an arithmetic number, because the mean of its divisors is an integer number (704026209600).

Almost surely, 238430671738536 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 38430671738536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45057677414400).

38430671738536 is an abundant number, since it is smaller than the sum of its proper divisors (51684683090264).

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

38430671738536 is a wasteful number, since it uses less digits than its factorization.

38430671738536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61967 (or 61963 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 64.

The spelling of 38430671738536 in words is "thirty-eight trillion, four hundred thirty billion, six hundred seventy-one million, seven hundred thirty-eight thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 367 616 734 1468 2569 2897 2936 4037 5138 5794 8074 10276 11588 16148 20279 20552 23176 28259 31867 32296 40558 56518 58679 63734 81116 113036 117358 127468 162232 223069 226072 234716 254936 410753 446138 469432 645469 821506 892276 1063199 1290938 1643012 1784552 2126398 2581876 3286024 4252796 4518283 5163752 7442393 8505592 9036566 11695189 14884786 18073132 21535193 23390378 29769572 36146264 43070386 46780756 59539144 81866323 86140772 93561512 150746351 163732646 169993063 172281544 236887123 301492702 327465292 339986126 473774246 602985404 654930584 679972252 947548492 1189951441 1205970808 1359944504 1658209861 1869923693 1895096984 2379902882 3316419722 3739847386 4759805764 6632839444 7479694772 9519611528 13089465851 13265678888 14959389544 26178931702 52357863404 62387454121 104715726808 124774908242 249549816484 436712178847 499099632968 686261995331 873424357694 1372523990662 1746848715388 2745047981324 3493697430776 4803833967317 5490095962648 9607667934634 19215335869268 38430671738536