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54620342646040 = 23517372341792707
BaseRepresentation
bin11000110101101010010100…
…00111101111010100011000
321011101122122120222111211001
430122311022013233110120
524124344430204133130
6312100123343114344
714335122003054223
oct1432651207572430
9234348576874731
1054620342646040
11164493a2524316
1261619562a29b4
1324628a3833672
14d6b8d27c85ba
1564ac018386ca
hex31ad4a1ef518

54620342646040 has 128 divisors (see below), whose sum is σ = 133648972712640. Its totient is φ = 20006126862336.

The previous prime is 54620342645867. The next prime is 54620342646113. The reversal of 54620342646040 is 4064624302645.

54620342646040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 589125367 + ... + 589218073.

Almost surely, 254620342646040 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 54620342646040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66824486356320).

54620342646040 is an abundant number, since it is smaller than the sum of its proper divisors (79028630066600).

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

54620342646040 is a wasteful number, since it uses less digits than its factorization.

54620342646040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116189 (or 116185 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 46.

Adding to 54620342646040 its reverse (4064624302645), we get a palindrome (58684966948685).

The spelling of 54620342646040 in words is "fifty-four trillion, six hundred twenty billion, three hundred forty-two million, six hundred forty-six thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 37 40 68 74 85 136 148 170 185 296 340 370 629 680 740 1258 1480 2516 3145 5032 6290 12580 23417 25160 46834 92707 93668 117085 185414 187336 234170 370828 398089 463535 468340 741656 796178 866429 927070 936680 1576019 1592356 1732858 1854140 1990445 3152038 3184712 3430159 3465716 3708280 3980890 4332145 6304076 6860318 6931432 7880095 7961780 8664290 12608152 13720636 14729293 15760190 15923560 17150795 17328580 27441272 29458586 31520380 34301590 34657160 58312703 58917172 63040760 68603180 73646465 116625406 117834344 137206360 147292930 233250812 291563515 294585860 466501624 583127030 589171720 1166254060 2170919819 2332508120 4341839638 8683679276 10854599095 17367358552 21709198190 36905636923 43418396380 73811273846 80324033303 86836792760 147622547692 160648066606 184528184615 295245095384 321296133212 369056369230 401620166515 642592266424 738112738460 803240333030 1365508566151 1476225476920 1606480666060 2731017132302 3212961332120 5462034264604 6827542830755 10924068529208 13655085661510 27310171323020 54620342646040