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2828077251612 = 22329139115350707
BaseRepresentation
bin101001001001110110100…
…010100011110000011100
3101000100202120021202101120
4221021312202203300130
5332313400234022422
610003111210210540
7411215251002354
oct51116642436034
911010676252346
102828077251612
119a0420976258
12398125423a50
131768c0438ba2
149ac45b53b64
154d8711e545c
hex292768a3c1c

2828077251612 has 96 divisors (see below), whose sum is σ = 6881602963200. Its totient is φ = 902836150272.

The previous prime is 2828077251541. The next prime is 2828077251619. The reversal of 2828077251612 is 2161527708282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2828077251619) by changing a digit.

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, 55747563 + ... + 55798269.

It is an arithmetic number, because the mean of its divisors is an integer number (71683364200).

Almost surely, 22828077251612 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 2828077251612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440801481600).

2828077251612 is an abundant number, since it is smaller than the sum of its proper divisors (4053525711588).

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

2828077251612 is a wasteful number, since it uses less digits than its factorization.

2828077251612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52035 (or 52033 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 51.

The spelling of 2828077251612 in words is "two trillion, eight hundred twenty-eight billion, seventy-seven million, two hundred fifty-one thousand, six hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 139 174 278 348 417 556 834 1153 1668 2306 3459 4031 4612 6918 8062 12093 13836 16124 24186 33437 48372 50707 66874 100311 101414 133748 152121 160267 200622 202828 304242 320534 401244 480801 608484 641068 961602 1470503 1923204 2941006 4411509 4647743 5882012 7048273 8823018 9295486 13943229 14096546 17646036 18590972 21144819 27886458 28193092 42289638 55772916 58465171 84579276 116930342 175395513 204399917 233860684 350791026 408799834 613199751 701582052 817599668 1226399502 1695489959 2452799004 3390979918 5086469877 6781959836 8126658769 10172939754 16253317538 20345879508 24379976307 32506635076 48759952614 97519905228 235673104301 471346208602 707019312903 942692417204 1414038625806 2828077251612