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56751304405420 = 225192292155730253
BaseRepresentation
bin11001110011101011100010…
…10101101111000110101100
321102221101000222111001020201
430321311301111233012230
524414303132411433140
6320411104521123244
714645101141130662
oct1471656125570654
9242841028431221
1056751304405420
11170a0102919299
126446949029524
1325888182aa941
141002ac6378c32
15686371d0549a
hex339d7156f1ac

56751304405420 has 96 divisors (see below), whose sum is σ = 126008079422400. Its totient is φ = 21410144861184.

The previous prime is 56751304405349. The next prime is 56751304405427. The reversal of 56751304405420 is 2450440315765.

It is not an unprimeable number, because it can be changed into a prime (56751304405427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1875875014 + ... + 1875905266.

It is an arithmetic number, because the mean of its divisors is an integer number (1312584160650).

Almost surely, 256751304405420 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 56751304405420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63004039711200).

56751304405420 is an abundant number, since it is smaller than the sum of its proper divisors (69256775016980).

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

56751304405420 is a wasteful number, since it uses less digits than its factorization.

56751304405420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52067 (or 52065 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 46.

The spelling of 56751304405420 in words is "fifty-six trillion, seven hundred fifty-one billion, three hundred four million, four hundred five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 229 380 458 916 1145 2290 4351 4580 8702 17404 21557 21755 30253 43114 43510 60506 86228 87020 107785 121012 151265 215570 302530 409583 431140 574807 605060 819166 1149614 1638332 2047915 2299228 2874035 4095830 4936553 5748070 6927937 8191660 9873106 11496140 13855874 19746212 24682765 27711748 34639685 49365530 69279370 93794507 98731060 131630803 138558740 187589014 263261606 375178028 468972535 526523212 652163921 658154015 937945070 1304327842 1316308030 1875890140 2608655684 2632616060 3260819605 6521639210 12391114499 13043278420 24782228998 49564457996 61955572495 123911144990 149345537909 247822289980 298691075818 597382151636 746727689545 1493455379090 2837565220271 2986910758180 5675130440542 11350260881084 14187826101355 28375652202710 56751304405420