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2688971000298 = 23111031873211187
BaseRepresentation
bin100111001000010011001…
…010010100100111101010
3100112001201000100000100120
4213020103022110213222
5323024003034002143
65415143552344110
7365162131244352
oct47102312244752
910461630300316
102688971000298
119474280347a0
12375182b45036
13166751a9208b
149420b0d5b62
1549e2dbb8383
hex272132949ea

2688971000298 has 64 divisors (see below), whose sum is σ = 5926996288512. Its totient is φ = 806493991680.

The previous prime is 2688971000269. The next prime is 2688971000299. The reversal of 2688971000298 is 8920001798862.

It is not an unprimeable number, because it can be changed into a prime (2688971000299) 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, 12627061 + ... + 12838247.

It is an arithmetic number, because the mean of its divisors is an integer number (92609317008).

Almost surely, 22688971000298 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2688971000298, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963498144256).

2688971000298 is an abundant number, since it is smaller than the sum of its proper divisors (3238025288214).

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

2688971000298 is a wasteful number, since it uses less digits than its factorization.

2688971000298 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213179.

The product of its (nonzero) digits is 6967296, while the sum is 60.

The spelling of 2688971000298 in words is "two trillion, six hundred eighty-eight billion, nine hundred seventy-one million, two hundred ninety-eight", and thus it is an aban number.

Divisors: 1 2 3 6 11 22 33 66 103 206 309 618 1133 1873 2266 3399 3746 5619 6798 11238 20603 41206 61809 123618 192919 211187 385838 422374 578757 633561 1157514 1267122 2122109 2323057 4244218 4646114 6366327 6969171 12732654 13938342 21752261 43504522 65256783 130513566 239274871 395553251 478549742 717824613 791106502 1186659753 1435649226 2373319506 4351085761 8702171522 13053257283 26106514566 40741984853 81483969706 122225954559 244451909118 448161833383 896323666766 1344485500149 2688971000298