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56905395419901 = 37311092077138609
BaseRepresentation
bin11001111000001010100011…
…11000010011101011111101
321110111002202211220121222010
430330011101320103223331
524424314222211414101
6321005551110241433
714662164514135110
oct1474052170235375
9243432684817863
1056905395419901
111714a496215146
126470791956279
13259a204297412
14100a3431b2577
1568a38eb372d6
hex33c151e13afd

56905395419901 has 64 divisors (see below), whose sum is σ = 90338059468800. Its totient is φ = 31177411660800.

The previous prime is 56905395419861. The next prime is 56905395419969. The reversal of 56905395419901 is 10991459350965.

It is not a de Polignac number, because 56905395419901 - 26 = 56905395419837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56905395419801) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1473870085 + ... + 1473908693.

It is an arithmetic number, because the mean of its divisors is an integer number (1411532179200).

Almost surely, 256905395419901 is an apocalyptic number.

It is an amenable number.

56905395419901 is a deficient number, since it is larger than the sum of its proper divisors (33432664048899).

56905395419901 is a wasteful number, since it uses less digits than its factorization.

56905395419901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59530.

The product of its (nonzero) digits is 59049000, while the sum is 66.

The spelling of 56905395419901 in words is "fifty-six trillion, nine hundred five billion, three hundred ninety-five million, four hundred nineteen thousand, nine hundred one".

Divisors: 1 3 7 21 31 93 109 217 327 651 763 2289 3379 10137 20771 23653 38609 62313 70959 115827 145397 270263 436191 643901 810789 1196879 1931703 2264039 3590637 4208381 4507307 6792117 8378153 12625143 13521921 15848273 25134459 29458667 47544819 70185209 88376001 130459811 210555627 391379433 491296463 801947539 913218677 1473889389 2405842617 2739656031 5613632773 16840898319 24860373709 74581121127 87412281751 174022615963 262236845253 522067847889 611885972257 1835657916771 2709780734281 8129342202843 18968465139967 56905395419901