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76426164670000 = 24544723459763
BaseRepresentation
bin10001011000001001011010…
…011001011000111000110000
3101000121021021211011122101111
4101120021122121120320300
540004131241123420000
6430313410110243104
722045415415050035
oct2130113231307060
9330537254148344
1076426164670000
1122396177591792
1286a3a9bab6494
133384c582b2792
1414c309073538c
158c8047406cba
hex45825a658e30

76426164670000 has 150 divisors (see below), whose sum is σ = 189056129382428. Its totient is φ = 29920021776000.

The previous prime is 76426164669961. The next prime is 76426164670087. The reversal of 76426164670000 is 7646162467.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 20360119 + ... + 23819881.

Almost surely, 276426164670000 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 76426164670000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94528064691214).

76426164670000 is an abundant number, since it is smaller than the sum of its proper divisors (112629964712428).

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

76426164670000 is an equidigital number, since it uses as much as digits as its factorization.

76426164670000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3459885 (or 3459817 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 49.

The spelling of 76426164670000 in words is "seventy-six trillion, four hundred twenty-six billion, one hundred sixty-four million, six hundred seventy thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 125 188 200 235 250 376 400 470 500 625 752 940 1000 1175 1250 1880 2000 2209 2350 2500 3760 4418 4700 5000 5875 8836 9400 10000 11045 11750 17672 18800 22090 23500 29375 35344 44180 47000 55225 58750 88360 94000 110450 117500 176720 220900 235000 276125 441800 470000 552250 883600 1104500 1380625 2209000 2761250 3459763 4418000 5522500 6919526 11045000 13839052 17298815 22090000 27678104 34597630 55356208 69195260 86494075 138390520 162608861 172988150 276781040 325217722 345976300 432470375 650435444 691952600 813044305 864940750 1300870888 1383905200 1626088610 1729881500 2162351875 2601741776 3252177220 3459763000 4065221525 4324703750 6504354440 6919526000 7642616467 8130443050 8649407500 13008708880 15285232934 16260886100 17298815000 20326107625 30570465868 32521772200 34597630000 38213082335 40652215250 61140931736 65043544400 76426164670 81304430500 101630538125 122281863472 152852329340 162608861000 191065411675 203261076250 305704658680 325217722000 382130823350 406522152500 611409317360 764261646700 813044305000 955327058375 1528523293400 1626088610000 1910654116750 3057046586800 3821308233500 4776635291875 7642616467000 9553270583750 15285232934000 19106541167500 38213082335000 76426164670000