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2530273228764 = 2231747313843131
BaseRepresentation
bin100100110100100000000…
…010010111011111011100
322221220002002110220222120
4210310200002113133130
5312423444421310024
65214220320342540
7350543346402531
oct44644002273734
98856062426876
102530273228764
118960a0301106
1234a473474a50
131547b0560858
148a674522d88
1545c4170b479
hex24d200977dc

2530273228764 has 96 divisors (see below), whose sum is σ = 6404673494016. Its totient is φ = 774438512640.

The previous prime is 2530273228759. The next prime is 2530273228793. The reversal of 2530273228764 is 4678223720352.

It is a super-2 number, since 2×25302732287642 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2579479 + ... + 3422609.

It is an arithmetic number, because the mean of its divisors is an integer number (66715348896).

Almost surely, 22530273228764 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 2530273228764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3202336747008).

2530273228764 is an abundant number, since it is smaller than the sum of its proper divisors (3874400265252).

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

2530273228764 is a wasteful number, since it uses less digits than its factorization.

2530273228764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843515 (or 843513 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 51.

The spelling of 2530273228764 in words is "two trillion, five hundred thirty billion, two hundred seventy-three million, two hundred twenty-eight thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 47 51 68 94 102 141 188 204 282 313 564 626 799 939 1252 1598 1878 2397 3196 3756 4794 5321 9588 10642 14711 15963 21284 29422 31926 44133 58844 63852 88266 176532 250087 500174 750261 843131 1000348 1500522 1686262 2529393 3001044 3372524 5058786 10117572 14333227 28666454 39627157 42999681 57332908 79254314 85999362 118881471 158508628 171998724 237762942 263900003 475525884 527800006 673661669 791700009 1055600012 1347323338 1583400018 2020985007 2694646676 3166800036 4041970014 4486300051 8083940028 8972600102 12403300141 13458900153 17945200204 24806600282 26917800306 37209900423 49613200564 53835600612 74419800846 148839601692 210856102397 421712204794 632568307191 843424409588 1265136614382 2530273228764